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numbers: is prime ----------------- Inquiry: Is 8307374 a prime number? Ans: False Inquiry: Is 148550387 prime? Ans: True Inquiry: Is 561579215 a composite number? Ans: True Inquiry: Is 1069171 a composite number? Ans: False Inquiry: Is 4295107303 a composite number? Ans: False Inquiry: Is 18370801447 composite? Ans: True Inquiry: Is 33600647 prime? Ans: False Inquiry: Is 44547707 prime? Ans: False Inquiry: Is 59403 composite? Ans: True Inquiry: Is 213119 a prime number? Ans: True Inquiry: Is 2158859 composite? Ans: False Inquiry: Is 39506321 a composite number? Ans: False Inquiry: Is 43712688739 prime? Ans: True Inquiry: Is 2159 a prime number? Ans: False Inquiry: Is 91533444979 a prime number? Ans: False Inquiry: Is 44866158221 composite? Ans: True Inquiry: Is 46672991 a prime number? Ans: False Inquiry: Is 41391235 composite? Ans: True Inquiry: Is 47777 composite? Ans: False Inquiry: Is 54163 a composite number? Ans: False Inquiry: Is 39428633177 composite? Ans: True Inquiry: Is 10175601131 a prime number? Ans: True Inquiry: Is 29341173877 a prime number? Ans: False Inquiry: Is 17123506159 prime? Ans: False Inquiry: Is 9519268991 composite? Ans: False Inquiry: Is 12473 a prime number? Ans: True Inquiry: Is 23448094583 prime? Ans: False Inquiry: Is 11936719 a composite number? Ans: True Inquiry: Is 10247 composite? Ans: False Inquiry: Is 1505723 composite? Ans: False Inquiry: Is 1494853 a prime number? Ans: True Inquiry: Is 7061 composite? Ans: True Inquiry: Is 20077 composite? Ans: True Inquiry: Is 789651791 prime? Ans: False Inquiry: Is 36691 prime? Ans: True Inquiry: Is 9441529 prime? Ans: True Inquiry: Is 574844141 prime? Ans: True Inquiry: Is 506063 a composite number? Ans: True Inquiry: Is 934343 composite? Ans: False Inquiry: Is 101659 a prime number? Ans: False Inquiry: Is 58067648519 composite? Ans: False Inquiry: Is 2129 composite? Ans: False Inquiry: Is 270055 a prime number? Ans: False Inquiry: Is 9141398485 composite? Ans: True Inquiry: Is 2168101633
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numbers: is prime ----------------- Example: Is 384872087 composite? Clarification: True Example: Is 305834407 prime? Clarification: True Example: Is 231491 a composite number? Clarification: True Example: Is 17729 composite? Clarification: False Example: Is 2135696999 composite? Clarification: False Example: Is 96583 composite? Clarification: True Example: Is 1428631 prime? Clarification: True Example: Is 60187011167 a composite number? Clarification: False Example: Is 78895873 composite? Clarification: True Example: Is 37896683 a composite number? Clarification: True Example: Is 880587569 prime? Clarification: True Example: Is 6575497 a prime number? Clarification: True Example: Is 6342073 prime? Clarification: False Example: Is 104821 composite? Clarification: True Example: Is 1467461 composite? Clarification: True Example: Is 7715 prime? Clarification: False Example: Is 4448352401 a composite number? Clarification: True Example: Is 2623013333 prime? Clarification: False Example: Is 510551 a prime number? Clarification: True Example: Is 4861 a composite number? Clarification: False Example: Is 73125079 composite? Clarification: True Example: Is 1559399 a composite number? Clarification: False Example: Is 758480677 prime? Clarification: True Example: Is 2403383 a prime number? Clarification: True Example: Is 454297 prime? Clarification: True Example: Is 52981 prime? Clarification: True Example: Is 10517 a prime number? Clarification: False Example: Is 1193637953 prime? Clarification: False Example: Is 85361 prime? Clarification: True Example: Is 106487 a prime number? Clarification: True Example: Is 3737917217 a composite number? Clarification: False Example: Is 109456871 composite? Clarification: False Example: Is 13967981 a composite number? Clarification: True Example: Is 952281229 a composite number? Clarification: True Example: Is 12832756087 a prime number? Clarification: True Example: Is 463679 a prime number? Clarification: True Example: Is 4306 prime? Cla
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measurement: time ----------------- Given: What is 488 minutes before 5:50 PM? Answer: 9:42 AM Given: How many minutes are there between 9:55 AM and 12:03 PM? Answer: 128 Given: How many minutes are there between 4:22 PM and 2:10 AM? Answer: 588 Given: How many minutes are there between 6:09 PM and 10:12 PM? Answer: 243 Given: What is 408 minutes before 8:42 PM? Answer: 1:54 PM Given: How many minutes are there between 4:08 PM and 5:08 PM? Answer: 60 Given: How many minutes are there between 2:45 PM and 10:28 PM? Answer: 463 Given: What is 317 minutes before 6:01 AM? Answer: 12:44 AM Given: How many minutes are there between 1:36 AM and 10:35 AM? Answer: 539 Given: What is 372 minutes before 7:33 PM? Answer: 1:21 PM Given: How many minutes are there between 5:53 PM and 11:53 PM? Answer: 360 Given: How many minutes are there between 5:27 AM and 1:28 PM? Answer: 481 Given: What is 9 minutes after 6:51 PM? Answer: 7:00 PM Given: How many minutes are there between 5:34 PM and 12:30 AM? Answer: 416 Given: How many minutes are there between 11:25 AM and 2:36 PM? Answer: 191 Given: What is 657 minutes before 10:47 PM? Answer: 11:50 AM Given: How many minutes are there between 8:17 AM and 9:20 AM? Answer: 63 Given: How many minutes are there between 1:08 PM and 6:50 PM? Answer: 342 Given: What is 677 minutes before 3:16 AM? Answer: 3:59 PM Given: How many minutes are there between 4:25 PM and 1:24 AM? Answer: 539 Given: What is 332 minutes after 4:12 AM? Answer: 9:44 AM Given: How many minutes are there between 5:54 PM and 4:11 AM? Answer: 617 Given: How many minutes are there between 8:42 AM and 7:43 PM? Answer: 661 Given: What is 52 minutes before 1:21 PM? Answer: 12:29 PM Given: How many minutes are there between 4:42 PM and 10:56 PM? Answer: 374 Given: How many minutes are there between 8:57 PM and 8:56 AM? Answer: 719 Given: How many minutes are there between 10:34 AM and 10:01 PM? Answer: 687 Given: What is 578 minutes before 10:06 AM? Answer: 12:28 AM Given: How many
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numbers: place value -------------------- Problem: What is the units digit of 26069586? Reply: 6 Problem: What is the thousands digit of 4079711? Reply: 9 Problem: What is the hundreds digit of 1536769? Reply: 7 Problem: What is the tens digit of 305? Reply: 0 Problem: What is the thousands digit of 1710? Reply: 1 Problem: What is the thousands digit of 76432? Reply: 6 Problem: What is the units digit of 9415287? Reply: 7 Problem: What is the ten thousands digit of 39967? Reply: 3 Problem: What is the units digit of 15677? Reply: 7 Problem: What is the millions digit of 2862445706? Reply: 2 Problem: What is the tens digit of 2057264? Reply: 6 Problem: What is the units digit of 4789? Reply: 9 Problem: What is the units digit of 79905? Reply: 5 Problem: What is the thousands digit of 2987? Reply: 2 Problem: What is the millions digit of 1057166? Reply: 1 Problem: What is the units digit of 8420? Reply: 0 Problem: What is the units digit of 18184? Reply: 4 Problem: What is the units digit of 16804567? Reply: 7 Problem: What is the tens digit of 545031? Reply: 3 Problem: What is the hundreds digit of 4961? Reply: 9 Problem: What is the hundreds digit of 920788? Reply: 7 Problem: What is the ten thousands digit of 3324994491? Reply: 9 Problem: What is the tens digit of 135632? Reply: 3 Problem: What is the hundreds digit of 3294? Reply: 2 Problem: What is the thousands digit of 29007940? Reply: 7 Problem: What is the tens digit of 331413? Reply: 1 Problem: What is the tens digit of 6081210? Reply: 1 Problem: What is the hundred thousands digit of 131065? Reply: 1 Problem: What is the billions digit of 5959794186? Reply: 5 Problem: What is the thousands digit of 49354? Reply: 9 Problem: What is the millions digit of 1479959? Reply: 1 Problem: What is the hundred thousands digit of 1053559? Reply: 0 Problem: What is the tens digit of 722? Reply: 2 Problem: What is the millions digit of 11087919? Reply: 1 Problem: What is the tens digit of 2156? Reply: 5 Problem: What is t
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measurement: conversion ----------------------- Query: What is 1/5 of a kilogram in grams? Reply: 200 Query: What is three tenths of a meter in millimeters? Reply: 300 Query: What is 8/25 of a kilometer in meters? Reply: 320 Query: How many nanoseconds are there in 21/4 of a microsecond? Reply: 5250 Query: How many milliseconds are there in 0.921839 weeks? Reply: 557528227.2 Query: How many millilitres are there in 3/5 of a litre? Reply: 600 Query: Convert 9.452354m to centimeters. Reply: 945.2354 Query: Convert 1437.1 weeks to minutes. Reply: 14485968 Query: How many months are there in 658.5605 centuries? Reply: 790272.6 Query: How many centuries are there in one tenth of a millennium? Reply: 1 Query: How many millilitres are there in 3/8 of a litre? Reply: 375 Query: How many decades are there in 68128.33 centuries? Reply: 681283.3 Query: What is 3.366514 years in decades? Reply: 0.3366514 Query: What is 0.2185912l in millilitres? Reply: 218.5912 Query: What is 808728.9 months in centuries? Reply: 673.94075 Query: How many millilitres are there in 3695.871 litres? Reply: 3695871 Query: Convert 899012.3ml to litres. Reply: 899.0123 Query: How many minutes are there in 2338.845ns? Reply: 0.00000003898075 Query: How many micrograms are there in 55/2 of a milligram? Reply: 27500 Query: How many millilitres are there in 8/25 of a litre? Reply: 320 Query: Convert 6999.356 days to weeks. Reply: 999.908 Query: How many nanometers are there in five eighths of a micrometer? Reply: 625 Query: How many micrograms are there in 13/8 of a milligram? Reply: 1625 Query: Convert 8382006.9s to hours. Reply: 2328.33525 Query: What is 47/4 of a gram in milligrams? Reply: 11750 Query: How many micrograms are there in 0.5395827 tonnes? Reply: 539582700000 Query: How many milligrams are there in 52218.46 nanograms? Reply: 0.05221846 Query: How many months are there in 9/10 of a century? Reply: 1080 Query: Convert 19379.18 days to microseconds. Reply: 1674361152000000 Query: How many min
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arithmetic: div --------------- Problem Statement: What is 2 divided by 20? Final Answer: 1/10 Problem Statement: 27389025 divided by 3043225 Final Answer: 9 Problem Statement: -8530 divided by -853 Final Answer: 10 Problem Statement: Divide 2 by 2. Final Answer: 1 Problem Statement: -2 divided by -57067930 Final Answer: 1/28533965 Problem Statement: Divide 12407044 by -7. Final Answer: -12407044/7 Problem Statement: 285221766 divided by -2 Final Answer: -142610883 Problem Statement: What is -2700739 divided by -158867? Final Answer: 17 Problem Statement: What is 4 divided by -602? Final Answer: -2/301 Problem Statement: Calculate -93077 divided by 1. Final Answer: -93077 Problem Statement: Divide -1 by 346. Final Answer: -1/346 Problem Statement: Divide 144 by -18. Final Answer: -8 Problem Statement: What is -3 divided by -941290? Final Answer: 3/941290 Problem Statement: Calculate -100185 divided by 17. Final Answer: -100185/17 Problem Statement: Calculate -660159 divided by 73351. Final Answer: -9 Problem Statement: Divide -12956 by -2. Final Answer: 6478 Problem Statement: What is 833 divided by 862? Final Answer: 833/862 Problem Statement: Divide -95273752 by 133. Final Answer: -716344 Problem Statement: What is 4 divided by 14? Final Answer: 2/7 Problem Statement: Calculate 196 divided by -6. Final Answer: -98/3 Problem Statement: 185083 divided by 11 Final Answer: 185083/11 Problem Statement: Calculate -1620 divided by 4. Final Answer: -405 Problem Statement: What is 153 divided by 4? Final Answer: 153/4 Problem Statement: Calculate -1 divided by 184. Final Answer: -1/184 Problem Statement: -30337572 divided by -4 Final Answer: 7584393 Problem Statement: Divide -1744 by -3. Final Answer: 1744/3 Problem Statement: What is 1382 divided by 23? Final Answer: 1382/23 Problem Statement: -5 divided by 2665 Final Answer: -1/533 Problem Statement: What is 1091 divided by -5? Final Answer: -1091/5 Problem Statement: 160 divided by 5 Final Answer: 32 Problem Statement:
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probability: swr p level set ---------------------------- Topic: Four letters picked without replacement from {b: 1, i: 1, n: 1, a: 1, f: 1}. What is prob of picking 1 b, 2 f, and 1 a? Thus: 0 Topic: Two letters picked without replacement from {v: 1, g: 2, c: 1}. What is prob of picking 1 v and 1 g? Thus: 1/3 Topic: What is prob of picking 1 q and 3 s when four letters picked without replacement from qsqsossqs? Thus: 5/21 Topic: Two letters picked without replacement from kkkdkkddkkkdkk. What is prob of picking 1 k and 1 d? Thus: 40/91 Topic: Three letters picked without replacement from xxnlnqnaaaaxdn. Give prob of picking 1 d, 1 n, and 1 a. Thus: 4/91 Topic: Calculate prob of picking 3 q when three letters picked without replacement from {r: 7, y: 4, q: 6}. Thus: 1/34 Topic: Four letters picked without replacement from saaaaaaeeaeaoeae. Give prob of picking 1 s, 2 a, and 1 o. Thus: 9/455 Topic: Two letters picked without replacement from {u: 3, c: 8}. What is prob of picking 2 u? Thus: 3/55 Topic: Four letters picked without replacement from uyuseykwuusuueyyuss. What is prob of picking 1 k, 1 s, 1 u, and 1 w? Thus: 7/969 Topic: Calculate prob of picking 1 l and 1 q when two letters picked without replacement from {v: 2, s: 1, f: 2, l: 1, q: 4}. Thus: 4/45 Topic: Calculate prob of picking 1 e, 1 q, 1 k, and 1 y when four letters picked without replacement from {e: 4, y: 6, k: 1, q: 1, x: 4}. Thus: 6/455 Topic: Calculate prob of picking 1 z, 1 f, and 1 x when three letters picked without replacement from qzfqfflqxxx. Thus: 3/55 Topic: Three letters picked without replacement from dmmhhmumhhm. Give prob of picking 1 m, 1 d, and 1 h. Thus: 4/33 Topic: What is prob of picking 1 s, 1 y, and 2 p when four letters picked without replacement from {w: 7, p: 3, s: 3, y: 1}? Thus: 9/1001 Topic: Calculate prob of picking 2 o when two letters picked without replacement from jooojpoj. Thus: 3/14 Topic: What is prob of picking 1 x and 1 o when two letters picked without replaceme
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numbers: div remainder ---------------------- What if: What is the remainder when 47 is divided by 27? Eval: 20 What if: Calculate the remainder when 71826 is divided by 11. Eval: 7 What if: What is the remainder when 15972690 is divided by 936? Eval: 786 What if: Calculate the remainder when 6360779 is divided by 1599. Eval: 1556 What if: What is the remainder when 1433683 is divided by 3928? Eval: 3891 What if: Calculate the remainder when 228 is divided by 22. Eval: 8 What if: What is the remainder when 1529627 is divided by 18? Eval: 5 What if: What is the remainder when 1060154 is divided by 67? Eval: 13 What if: What is the remainder when 111 is divided by 59? Eval: 52 What if: Calculate the remainder when 49983 is divided by 365. Eval: 343 What if: Calculate the remainder when 58073 is divided by 323. Eval: 256 What if: Calculate the remainder when 6180 is divided by 1028. Eval: 12 What if: Calculate the remainder when 937 is divided by 25. Eval: 12 What if: What is the remainder when 2155 is divided by 62? Eval: 47 What if: What is the remainder when 25531208 is divided by 53190? Eval: 8 What if: Calculate the remainder when 4756763 is divided by 65. Eval: 63 What if: What is the remainder when 1910330 is divided by 190983? Eval: 500 What if: Calculate the remainder when 1660 is divided by 153. Eval: 130 What if: Calculate the remainder when 84456 is divided by 429. Eval: 372 What if: Calculate the remainder when 200 is divided by 52. Eval: 44 What if: Calculate the remainder when 1648 is divided by 17. Eval: 16 What if: Calculate the remainder when 537 is divided by 174. Eval: 15 What if: What is the remainder when 3827570 is divided by 103444? Eval: 142 What if: What is the remainder when 2214790 is divided by 1393? Eval: 1313 What if: Calculate the remainder when 73 is divided by 5. Eval: 3 What if: Calculate the remainder when 14064 is divided by 156. Eval: 24 What if: Calculate the remainder when 1493898 is divided by 9165. Eval: 3 What if: Calculate th
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numbers: is prime ----------------- Example: Is 308291 composite? Output: False Example: Is 26891 composite? Output: False Example: Is 7069 a prime number? Output: True Example: Is 5671 composite? Output: True Example: Is 2434847117 prime? Output: False Example: Is 186451 a composite number? Output: False Example: Is 656653163 a prime number? Output: True Example: Is 152132969 a composite number? Output: False Example: Is 18063121319 a composite number? Output: True Example: Is 502667 prime? Output: False Example: Is 46345353353 a composite number? Output: True Example: Is 45547 a prime number? Output: False Example: Is 21509 a prime number? Output: False Example: Is 177511729 a composite number? Output: False Example: Is 751759 composite? Output: False Example: Is 33457 composite? Output: False Example: Is 28617496706 composite? Output: True Example: Is 18262891 a composite number? Output: False Example: Is 137394277 prime? Output: True Example: Is 1173203 a prime number? Output: False Example: Is 24030437 prime? Output: False Example: Is 17420369 a composite number? Output: True Example: Is 4327 prime? Output: True Example: Is 22869451 a prime number? Output: False Example: Is 53907583 prime? Output: False Example: Is 5306557 prime? Output: False Example: Is 484187 a composite number? Output: True Example: Is 2909 a prime number? Output: True Example: Is 110401 a composite number? Output: True Example: Is 25529176874 a composite number? Output: True Example: Is 234121 a composite number? Output: False Example: Is 19868224867 a composite number? Output: False Example: Is 1037405507 composite? Output: True Example: Is 1067404691 a composite number? Output: False Example: Is 168361 composite? Output: True Example: Is 23230326671 a prime number? Output: False Example: Is 2116528907 a prime number? Output: True Example: Is 552635 a prime number? Output: False Example: Is 6467243 prime? Output: False Example: Is 810044563 composite? Output: False Example: Is 112309807 a
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numbers: is factor ------------------ What if: Is 67 a factor of 1961693? Response: True What if: Is 190 a factor of 2443970? Response: True What if: Is 18550 a multiple of 25? Response: True What if: Is 2233 a factor of 980443310? Response: True What if: Is 20 a factor of 2240? Response: True What if: Is 595 a multiple of 85? Response: True What if: Is 2739 a multiple of 18? Response: False What if: Does 25 divide 2801? Response: False What if: Does 65 divide 342020250? Response: True What if: Is 7623794 a multiple of 482? Response: True What if: Does 69 divide 15294885? Response: True What if: Does 105 divide 6598255? Response: False What if: Is 3365 a factor of 1390051215? Response: True What if: Is 26 a factor of 678064? Response: False What if: Is 1599857424 a multiple of 88? Response: True What if: Is 17 a factor of 17738? Response: False What if: Is 142 a multiple of 73? Response: False What if: Is 19440 a multiple of 120? Response: True What if: Is 17514 a multiple of 63? Response: True What if: Is 28728003 a multiple of 751? Response: True What if: Is 10 a factor of 50534753? Response: False What if: Is 10 a factor of 60979880? Response: True What if: Does 201 divide 23501? Response: False What if: Does 17 divide 2584? Response: True What if: Does 661 divide 229294951? Response: True What if: Does 14 divide 212879? Response: False What if: Is 68508 a multiple of 346? Response: True What if: Is 239488788 a multiple of 1357? Response: True What if: Does 48 divide 30912? Response: True What if: Does 102 divide 443027? Response: False What if: Is 2530327825 a multiple of 25? Response: True What if: Is 568748785 a multiple of 28? Response: False What if: Is 139 a factor of 104055400? Response: True What if: Is 463380065 a multiple of 206? Response: False What if: Is 281329751 a multiple of 4737? Response: False What if: Is 5 a factor of 3760? Response: True What if: Is 97 a factor of 84381514? Response: False What if: Is 3780 a factor of 162127980? Response: Tru
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numbers: is prime ----------------- Problem: Is 3569939 a composite number? Sol: False Problem: Is 17970047 a prime number? Sol: True Problem: Is 998 prime? Sol: False Problem: Is 271532909 a prime number? Sol: False Problem: Is 128753681 a composite number? Sol: True Problem: Is 457 composite? Sol: False Problem: Is 69755459207 composite? Sol: True Problem: Is 1906707521 prime? Sol: False Problem: Is 146467 a composite number? Sol: True Problem: Is 347860699 composite? Sol: False Problem: Is 40306282099 composite? Sol: False Problem: Is 182473535 a prime number? Sol: False Problem: Is 118127 composite? Sol: False Problem: Is 177034519 composite? Sol: True Problem: Is 19342903 prime? Sol: False Problem: Is 31973 a prime number? Sol: True Problem: Is 1973 a prime number? Sol: True Problem: Is 967 a prime number? Sol: True Problem: Is 166081 prime? Sol: True Problem: Is 14953 prime? Sol: False Problem: Is 547993093 prime? Sol: False Problem: Is 4550954197 a composite number? Sol: True Problem: Is 237048071 prime? Sol: False Problem: Is 71492879 prime? Sol: False Problem: Is 1080542773 prime? Sol: True Problem: Is 703 a composite number? Sol: True Problem: Is 12683917 composite? Sol: False Problem: Is 6980686333 a composite number? Sol: False Problem: Is 2069677 a prime number? Sol: False Problem: Is 12495151 a prime number? Sol: True Problem: Is 29527 composite? Sol: False Problem: Is 258437021 a composite number? Sol: False Problem: Is 1949274313 prime? Sol: False Problem: Is 26549 composite? Sol: True Problem: Is 14189057 composite? Sol: False Problem: Is 12482111 a composite number? Sol: False Problem: Is 2889073 a composite number? Sol: True Problem: Is 278597701 prime? Sol: False Problem: Is 58625319 composite? Sol: True Problem: Is 712891 composite? Sol: False Problem: Is 1120854071 a composite number? Sol: False Problem: Is 119275207 prime? Sol: True Problem: Is 39405957841 a prime number? Sol: False Problem: Is 44136051709 composite? Sol: True Problem: Is 3069
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measurement: conversion ----------------------- Given: How many hours are there in 3795251.4ms? Soln: 1.0542365 Given: What is 25/7 of a week in minutes? Soln: 36000 Given: Convert 0.783319 nanometers to millimeters. Soln: 0.000000783319 Given: What is seven sixths of a millennium in months? Soln: 14000 Given: How many nanoseconds are there in 3058.033 seconds? Soln: 3058033000000 Given: What is 3/8 of a kilogram in grams? Soln: 375 Given: Convert 50.30975 days to hours. Soln: 1207.434 Given: What is 5.087599 weeks in hours? Soln: 854.716632 Given: Convert 0.4937357 micrometers to millimeters. Soln: 0.0004937357 Given: What is 5/4 of a litre in millilitres? Soln: 1250 Given: How many grams are there in 41589.23 tonnes? Soln: 41589230000 Given: What is 6.09072ml in litres? Soln: 0.00609072 Given: How many millilitres are there in fourty-nine fifths of a litre? Soln: 9800 Given: What is 47/4 of a decade in months? Soln: 1410 Given: How many seconds are there in 59/5 of a minute? Soln: 708 Given: How many litres are there in 0.1069563ml? Soln: 0.0001069563 Given: What is 3/40 of a kilogram in milligrams? Soln: 75000 Given: How many seconds are there in 17/4 of a hour? Soln: 15300 Given: How many centimeters are there in 3/10 of a meter? Soln: 30 Given: What is 2.616014 grams in nanograms? Soln: 2616014000 Given: How many millennia are there in 0.6228559 decades? Soln: 0.006228559 Given: What is 36.00108 years in millennia? Soln: 0.03600108 Given: What is one sixteenth of a centimeter in micrometers? Soln: 625 Given: What is 29/5 of a millennium in centuries? Soln: 58 Given: What is seventy-nine halves of a litre in millilitres? Soln: 39500 Given: How many litres are there in 5910.26ml? Soln: 5.91026 Given: Convert 89.68118 kilometers to millimeters. Soln: 89681180 Given: Convert 0.0350359m to millimeters. Soln: 35.0359 Given: How many millilitres are there in fifty-one fifths of a litre? Soln: 10200 Given: How many millimeters are there in eleven halves of a centimeter
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numbers: gcd ------------ Q): Calculate the highest common divisor of 77433686 and 7690. Workthrough: 1538 Q): What is the highest common factor of 547341 and 111? Workthrough: 111 Q): Calculate the greatest common factor of 15 and 3533914020. Workthrough: 15 Q): What is the greatest common divisor of 12512 and 3404? Workthrough: 92 Q): Calculate the greatest common divisor of 434 and 310. Workthrough: 62 Q): Calculate the greatest common divisor of 56 and 3736. Workthrough: 8 Q): Calculate the highest common factor of 265090 and 28. Workthrough: 14 Q): What is the greatest common divisor of 260 and 20? Workthrough: 20 Q): Calculate the greatest common divisor of 97 and 2813. Workthrough: 97 Q): What is the greatest common divisor of 8 and 97144? Workthrough: 8 Q): Calculate the greatest common divisor of 15 and 29275. Workthrough: 5 Q): Calculate the greatest common divisor of 2795 and 15289209. Workthrough: 559 Q): What is the highest common divisor of 70 and 1440? Workthrough: 10 Q): Calculate the greatest common divisor of 66 and 798. Workthrough: 6 Q): Calculate the greatest common divisor of 56 and 2152. Workthrough: 8 Q): Calculate the highest common divisor of 736 and 31136296. Workthrough: 184 Q): What is the greatest common divisor of 231 and 946? Workthrough: 11 Q): Calculate the greatest common factor of 163723824 and 144. Workthrough: 144 Q): Calculate the highest common factor of 371 and 601338. Workthrough: 53 Q): What is the greatest common factor of 3465 and 210078? Workthrough: 99 Q): What is the highest common factor of 41 and 24559? Workthrough: 41 Q): Calculate the greatest common factor of 1794 and 3082690. Workthrough: 598 Q): What is the highest common factor of 40 and 120? Workthrough: 40 Q): What is the greatest common factor of 4562943 and 759? Workthrough: 33 Q): What is the highest common divisor of 484 and 121? Workthrough: 121 Q): What is the highest common factor of 55 and 15? Workthrough: 5 Q): Calculate the highest common divisor of
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numbers: is prime ----------------- Step: Is 1734873845 composite? Workthrough: True Step: Is 62852501 a prime number? Workthrough: True Step: Is 77663 prime? Workthrough: False Step: Is 3893341295 a prime number? Workthrough: False Step: Is 2345328173 composite? Workthrough: False Step: Is 2738541413 prime? Workthrough: False Step: Is 365407169 prime? Workthrough: True Step: Is 123536723 prime? Workthrough: False Step: Is 3312314899 a composite number? Workthrough: False Step: Is 45943 prime? Workthrough: True Step: Is 34807 a prime number? Workthrough: True Step: Is 18751433 composite? Workthrough: False Step: Is 21011 a composite number? Workthrough: False Step: Is 7881301 composite? Workthrough: True Step: Is 69942546373 prime? Workthrough: False Step: Is 157798061 composite? Workthrough: False Step: Is 19931 a composite number? Workthrough: True Step: Is 16288109 prime? Workthrough: True Step: Is 675643 a prime number? Workthrough: True Step: Is 22977433 a prime number? Workthrough: True Step: Is 29649 a prime number? Workthrough: False Step: Is 1070921 a composite number? Workthrough: False Step: Is 56081 a composite number? Workthrough: False Step: Is 81058 composite? Workthrough: True Step: Is 15410413 a composite number? Workthrough: False Step: Is 98536578139 prime? Workthrough: True Step: Is 1433680489 prime? Workthrough: False Step: Is 16579 composite? Workthrough: True Step: Is 102761 prime? Workthrough: True Step: Is 13483 composite? Workthrough: True Step: Is 14114 prime? Workthrough: False Step: Is 21573307 composite? Workthrough: True Step: Is 18222845 a composite number? Workthrough: True Step: Is 11947 composite? Workthrough: True Step: Is 2053911 composite? Workthrough: True Step: Is 41719 prime? Workthrough: True Step: Is 5923 prime? Workthrough: True Step: Is 26625134969 prime? Workthrough: False Step: Is 681117803 a composite number? Workthrough: False Step: Is 530327015 a prime number? Workthrough: False Step: Is 37571319151 composite? Workth
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numbers: gcd ------------ Q: What is the greatest common factor of 2 and 64? Fix: 2 Q: Calculate the greatest common factor of 239700 and 2256. Fix: 564 Q: What is the greatest common factor of 10396 and 2712? Fix: 452 Q: Calculate the greatest common divisor of 25 and 125. Fix: 25 Q: What is the highest common factor of 79811478 and 81? Fix: 9 Q: What is the highest common factor of 530943 and 579? Fix: 579 Q: Calculate the greatest common factor of 921853 and 32471240. Fix: 13759 Q: Calculate the highest common divisor of 52 and 6. Fix: 2 Q: What is the greatest common factor of 87 and 2047951? Fix: 29 Q: What is the greatest common divisor of 2282172257 and 15586? Fix: 7793 Q: What is the greatest common divisor of 56 and 3472? Fix: 56 Q: What is the highest common divisor of 1827252 and 756? Fix: 756 Q: What is the highest common divisor of 143 and 1718431? Fix: 143 Q: What is the greatest common divisor of 168 and 252? Fix: 84 Q: What is the highest common divisor of 44 and 268972? Fix: 44 Q: What is the greatest common divisor of 48 and 72? Fix: 24 Q: Calculate the highest common factor of 40 and 5. Fix: 5 Q: Calculate the greatest common divisor of 1739 and 592. Fix: 37 Q: Calculate the greatest common divisor of 1189 and 1054643. Fix: 1189 Q: Calculate the highest common factor of 98 and 756. Fix: 14 Q: What is the highest common factor of 3914 and 38? Fix: 38 Q: Calculate the greatest common factor of 414844 and 14749386. Fix: 5606 Q: What is the greatest common factor of 2552 and 22? Fix: 22 Q: Calculate the greatest common divisor of 84688 and 5896. Fix: 536 Q: Calculate the greatest common divisor of 747614736 and 44. Fix: 44 Q: What is the highest common factor of 110 and 57070? Fix: 10 Q: Calculate the highest common factor of 116879 and 13. Fix: 1 Q: Calculate the greatest common factor of 948 and 109652. Fix: 316 Q: What is the greatest common factor of 1158 and 59251? Fix: 193 Q: Calculate the highest common factor of 7 and 1533. Fix: 7 Q: What is t
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probability: swr p sequence --------------------------- Problem: Three letters picked without replacement from xxrxbxxxxxxbxxrrxx. Give prob of sequence xbr. Solution: 13/816 Problem: What is prob of sequence ibub when four letters picked without replacement from {u: 9, b: 2, i: 2}? Solution: 3/1430 Problem: Calculate prob of sequence uqno when four letters picked without replacement from onwnqnnnnwnuw. Solution: 7/17160 Problem: Calculate prob of sequence ddvv when four letters picked without replacement from {v: 3, d: 9}. Solution: 2/55 Problem: Three letters picked without replacement from gvvvvvgppvghgvgggvh. What is prob of sequence hgv? Solution: 56/2907 Problem: Four letters picked without replacement from {q: 4, f: 3, r: 2, a: 2, z: 6}. What is prob of sequence rqqz? Solution: 3/1190 Problem: What is prob of sequence nf when two letters picked without replacement from {n: 7, f: 4}? Solution: 14/55 Problem: Calculate prob of sequence tq when two letters picked without replacement from tqtqqqtqqqtqtq. Solution: 45/182 Problem: What is prob of sequence bd when two letters picked without replacement from {d: 3, a: 1, e: 4, s: 7, b: 1}? Solution: 1/80 Problem: What is prob of sequence zhhz when four letters picked without replacement from hzzldzlhdddllhidlhhz? Solution: 2/969 Problem: Three letters picked without replacement from wrrrrrrrrrrrwrrwrrwr. What is prob of sequence rrw? Solution: 8/57 Problem: Four letters picked without replacement from {q: 2, l: 3, a: 9, b: 3}. Give prob of sequence llal. Solution: 9/9520 Problem: Four letters picked without replacement from {c: 2, l: 8, h: 8}. What is prob of sequence hchc? Solution: 7/4590 Problem: What is prob of sequence qdq when three letters picked without replacement from qidiiiiiiiqdiiddidi? Solution: 5/2907 Problem: Four letters picked without replacement from smvsfm. Give prob of sequence mssv. Solution: 1/90 Problem: What is prob of sequence tme when three letters picked without replacement from {t: 1, m:
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measurement: conversion ----------------------- Challenge: What is one tenth of a day in seconds? Result: 8640 Challenge: What is 2.505319 millilitres in litres? Result: 0.002505319 Challenge: What is 1/10 of a litre in millilitres? Result: 100 Challenge: What is 43/2 of a millimeter in micrometers? Result: 21500 Challenge: What is 2665228.8 months in years? Result: 222102.4 Challenge: What is 9.330806m in micrometers? Result: 9330806 Challenge: What is 653707.6 kilometers in millimeters? Result: 653707600000 Challenge: What is 21/8 of a meter in millimeters? Result: 2625 Challenge: What is twenty-seven quarters of a year in months? Result: 81 Challenge: What is 44.40474 kilometers in micrometers? Result: 44404740000 Challenge: What is twenty-eight thirds of a decade in months? Result: 1120 Challenge: What is fifty-one fifths of a litre in millilitres? Result: 10200 Challenge: How many nanoseconds are there in 13/5 of a microsecond? Result: 2600 Challenge: How many millimeters are there in 74716.01 meters? Result: 74716010 Challenge: What is 67/5 of a litre in millilitres? Result: 13400 Challenge: How many nanograms are there in three fifths of a microgram? Result: 600 Challenge: What is 5.5792 weeks in seconds? Result: 3374300.16 Challenge: What is 215380.3 kilograms in nanograms? Result: 215380300000000000 Challenge: What is seven sixths of a hour in seconds? Result: 4200 Challenge: What is 3/25 of a kilometer in centimeters? Result: 12000 Challenge: What is 162570202.2 milliseconds in weeks? Result: 0.2687999375 Challenge: How many micrograms are there in 59/5 of a milligram? Result: 11800 Challenge: What is 5059.3266s in hours? Result: 1.4053685 Challenge: What is 17/4 of a microgram in nanograms? Result: 4250 Challenge: How many kilometers are there in 7.201932cm? Result: 0.00007201932 Challenge: What is 33/5 of a milligram in micrograms? Result: 6600 Challenge: What is 5/4 of a minute in milliseconds? Result: 75000 Challenge: How many months are there in thirt
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numbers: div remainder ---------------------- Q): Calculate the remainder when 396007 is divided by 43898. Yields: 925 Q): What is the remainder when 46533 is divided by 1622? Yields: 1117 Q): What is the remainder when 82859 is divided by 41419? Yields: 21 Q): What is the remainder when 1492 is divided by 569? Yields: 354 Q): Calculate the remainder when 1824062 is divided by 26824. Yields: 30 Q): Calculate the remainder when 37132 is divided by 251. Yields: 235 Q): What is the remainder when 826693 is divided by 1290? Yields: 1093 Q): Calculate the remainder when 9922041 is divided by 9. Yields: 0 Q): Calculate the remainder when 113263 is divided by 16180. Yields: 3 Q): Calculate the remainder when 959348 is divided by 479673. Yields: 2 Q): What is the remainder when 1527391 is divided by 9256? Yields: 151 Q): Calculate the remainder when 260 is divided by 28. Yields: 8 Q): What is the remainder when 118976 is divided by 118950? Yields: 26 Q): Calculate the remainder when 7044 is divided by 172. Yields: 164 Q): What is the remainder when 752670 is divided by 1280? Yields: 30 Q): Calculate the remainder when 4064 is divided by 179. Yields: 126 Q): Calculate the remainder when 144 is divided by 34. Yields: 8 Q): What is the remainder when 15343460 is divided by 1273? Yields: 1264 Q): Calculate the remainder when 28514 is divided by 21. Yields: 17 Q): What is the remainder when 66189 is divided by 23? Yields: 18 Q): What is the remainder when 1383 is divided by 145? Yields: 78 Q): Calculate the remainder when 344 is divided by 13. Yields: 6 Q): Calculate the remainder when 5584995 is divided by 62. Yields: 35 Q): Calculate the remainder when 94057 is divided by 31346. Yields: 19 Q): What is the remainder when 17013 is divided by 499? Yields: 47 Q): Calculate the remainder when 2911 is divided by 31. Yields: 28 Q): What is the remainder when 534 is divided by 134? Yields: 132 Q): What is the remainder when 210553 is divided by 210534? Yields: 19 Q): Calculate the rem
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measurement: time ----------------- Let us solve: What is 462 minutes after 10:29 AM? Finding: 6:11 PM Let us solve: What is 160 minutes before 2:57 AM? Finding: 12:17 AM Let us solve: What is 154 minutes after 7:54 AM? Finding: 10:28 AM Let us solve: What is 670 minutes before 10:17 PM? Finding: 11:07 AM Let us solve: What is 63 minutes after 3:38 AM? Finding: 4:41 AM Let us solve: How many minutes are there between 10:14 AM and 6:59 PM? Finding: 525 Let us solve: What is 644 minutes after 5:35 PM? Finding: 4:19 AM Let us solve: What is 468 minutes before 9:12 PM? Finding: 1:24 PM Let us solve: How many minutes are there between 9:30 AM and 4:26 PM? Finding: 416 Let us solve: What is 505 minutes after 5:04 AM? Finding: 1:29 PM Let us solve: How many minutes are there between 5:39 AM and 5:41 AM? Finding: 2 Let us solve: How many minutes are there between 11:46 AM and 11:18 PM? Finding: 692 Let us solve: How many minutes are there between 12:14 PM and 7:57 PM? Finding: 463 Let us solve: How many minutes are there between 2:03 AM and 12:00 PM? Finding: 597 Let us solve: How many minutes are there between 1:17 AM and 2:01 AM? Finding: 44 Let us solve: What is 628 minutes after 6:02 AM? Finding: 4:30 PM Let us solve: How many minutes are there between 5:18 PM and 3:00 AM? Finding: 582 Let us solve: What is 359 minutes before 2:49 AM? Finding: 8:50 PM Let us solve: What is 520 minutes before 11:48 PM? Finding: 3:08 PM Let us solve: How many minutes are there between 10:43 AM and 11:50 AM? Finding: 67 Let us solve: What is 416 minutes after 10:35 PM? Finding: 5:31 AM Let us solve: How many minutes are there between 8:38 AM and 7:08 PM? Finding: 630 Let us solve: What is 172 minutes after 1:44 AM? Finding: 4:36 AM Let us solve: How many minutes are there between 7:06 PM and 9:39 PM? Finding: 153 Let us solve: How many minutes are there between 8:52 AM and 9:48 AM? Finding: 56 Let us solve: What is 524 minutes after 8:52 AM? Finding: 5:36 PM Let us solve: What is 636 minut
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numbers: gcd ------------ Task: Calculate the highest common divisor of 584 and 6167551. Soln: 73 Task: Calculate the highest common divisor of 87947 and 155. Soln: 31 Task: Calculate the highest common factor of 45 and 1035. Soln: 45 Task: What is the greatest common divisor of 328750 and 1875? Soln: 625 Task: What is the highest common factor of 456460 and 580? Soln: 580 Task: What is the highest common divisor of 4100 and 6? Soln: 2 Task: What is the greatest common divisor of 24 and 3078? Soln: 6 Task: Calculate the greatest common factor of 10665 and 135. Soln: 135 Task: Calculate the highest common divisor of 18804 and 1356. Soln: 12 Task: What is the greatest common factor of 880 and 64? Soln: 16 Task: Calculate the greatest common divisor of 29939 and 52. Soln: 13 Task: What is the greatest common factor of 23 and 2507? Soln: 23 Task: What is the highest common divisor of 2507331 and 25404? Soln: 219 Task: What is the greatest common divisor of 176 and 448? Soln: 16 Task: Calculate the greatest common factor of 32428 and 1139. Soln: 67 Task: Calculate the highest common factor of 366 and 6. Soln: 6 Task: Calculate the highest common factor of 3522226 and 109. Soln: 109 Task: Calculate the highest common divisor of 528 and 336. Soln: 48 Task: Calculate the highest common factor of 1647190 and 20193. Soln: 127 Task: Calculate the highest common factor of 3180 and 88120. Soln: 20 Task: What is the highest common divisor of 6192 and 1557? Soln: 9 Task: What is the highest common divisor of 1765 and 14555249? Soln: 353 Task: What is the highest common divisor of 23 and 6121? Soln: 1 Task: What is the highest common divisor of 7614 and 23782? Soln: 94 Task: Calculate the greatest common divisor of 1428 and 924. Soln: 84 Task: What is the highest common factor of 3752 and 364? Soln: 28 Task: What is the highest common factor of 77 and 8? Soln: 1 Task: What is the greatest common divisor of 79580 and 3904610? Soln: 1730 Task: What is the highest common factor of 272
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numbers: is factor ------------------ Math Problem: Is 40 a factor of 20000? Result: True Math Problem: Is 17 a factor of 36? Result: False Math Problem: Is 41 a factor of 2792? Result: False Math Problem: Is 17559878 a multiple of 7? Result: True Math Problem: Is 121293282 a multiple of 501? Result: False Math Problem: Is 1444 a factor of 411400? Result: False Math Problem: Does 99 divide 22200057? Result: True Math Problem: Is 48345749 a multiple of 3446? Result: False Math Problem: Is 45402 a multiple of 282? Result: True Math Problem: Does 150 divide 1841772? Result: False Math Problem: Is 10 a factor of 30104530? Result: True Math Problem: Is 99 a factor of 2591525445? Result: False Math Problem: Does 115 divide 6572? Result: False Math Problem: Is 5338265 a multiple of 5? Result: True Math Problem: Is 13 a factor of 3926? Result: True Math Problem: Is 4642 a multiple of 22? Result: True Math Problem: Is 44 a factor of 14036? Result: True Math Problem: Is 24 a factor of 41592? Result: True Math Problem: Is 663 a multiple of 39? Result: True Math Problem: Is 36 a factor of 1431? Result: False Math Problem: Does 84 divide 79982952? Result: True Math Problem: Does 33 divide 116193? Result: True Math Problem: Does 6 divide 1074? Result: True Math Problem: Is 2368649340 a multiple of 36? Result: True Math Problem: Is 4826 a multiple of 20? Result: False Math Problem: Is 101 a factor of 687103? Result: True Math Problem: Is 36 a factor of 1548? Result: True Math Problem: Is 190095217 a multiple of 12? Result: False Math Problem: Is 1080 a multiple of 60? Result: True Math Problem: Does 15 divide 3207046? Result: False Math Problem: Is 3410 a multiple of 22? Result: True Math Problem: Does 4 divide 3180? Result: True Math Problem: Does 268 divide 14262692? Result: True Math Problem: Does 68 divide 990012? Result: True Math Problem: Does 1710 divide 3735422? Result: False Math Problem: Is 15 a factor of 317? Result: False Math Problem: Is 204 a factor of 35490696? Resu
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numbers: place value -------------------- Request: What is the tens digit of 6104789? Thus: 8 Request: What is the thousands digit of 27857343? Thus: 7 Request: What is the tens digit of 7055? Thus: 5 Request: What is the billions digit of 2689711400? Thus: 2 Request: What is the thousands digit of 138109? Thus: 8 Request: What is the millions digit of 2189974? Thus: 2 Request: What is the hundred thousands digit of 704012958? Thus: 0 Request: What is the hundreds digit of 3426? Thus: 4 Request: What is the millions digit of 48575225? Thus: 8 Request: What is the hundreds digit of 6269? Thus: 2 Request: What is the hundred thousands digit of 364921? Thus: 3 Request: What is the tens digit of 1071475? Thus: 7 Request: What is the hundred thousands digit of 20648690? Thus: 6 Request: What is the units digit of 256085188? Thus: 8 Request: What is the tens digit of 479820? Thus: 2 Request: What is the thousands digit of 2759239? Thus: 9 Request: What is the tens digit of 338? Thus: 3 Request: What is the millions digit of 4498585? Thus: 4 Request: What is the tens digit of 17049? Thus: 4 Request: What is the units digit of 303169? Thus: 9 Request: What is the thousands digit of 138716? Thus: 8 Request: What is the hundreds digit of 21361846? Thus: 8 Request: What is the hundreds digit of 959? Thus: 9 Request: What is the hundreds digit of 444289? Thus: 2 Request: What is the thousands digit of 526604019? Thus: 4 Request: What is the hundreds digit of 10203? Thus: 2 Request: What is the thousands digit of 2635? Thus: 2 Request: What is the hundreds digit of 279? Thus: 2 Request: What is the hundreds digit of 1884? Thus: 8 Request: What is the units digit of 110821416? Thus: 6 Request: What is the hundreds digit of 89396? Thus: 3 Request: What is the units digit of 651340? Thus: 0 Request: What is the hundred thousands digit of 195521125? Thus: 5 Request: What is the hundreds digit of 14548? Thus: 5 Request: What is the tens digit of 644? Thus: 4 Request: What is the hund
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arithmetic: nearest integer root -------------------------------- Challenge: What is the cube root of 52 to the nearest integer? Interpretation: 4 Challenge: What is 20141 to the power of 1/2, to the nearest integer? Interpretation: 142 Challenge: What is 550419 to the power of 1/3, to the nearest integer? Interpretation: 82 Challenge: What is the third root of 334661811 to the nearest integer? Interpretation: 694 Challenge: What is 7995746 to the power of 1/2, to the nearest integer? Interpretation: 2828 Challenge: What is 13053457 to the power of 1/7, to the nearest integer? Interpretation: 10 Challenge: What is the square root of 8010 to the nearest integer? Interpretation: 89 Challenge: What is the eighth root of 5901014 to the nearest integer? Interpretation: 7 Challenge: What is the square root of 64318717 to the nearest integer? Interpretation: 8020 Challenge: What is the square root of 2038919 to the nearest integer? Interpretation: 1428 Challenge: What is the third root of 97872360 to the nearest integer? Interpretation: 461 Challenge: What is 93386 to the power of 1/8, to the nearest integer? Interpretation: 4 Challenge: What is 22288 to the power of 1/8, to the nearest integer? Interpretation: 3 Challenge: What is 46742037 to the power of 1/3, to the nearest integer? Interpretation: 360 Challenge: What is the square root of 1223295 to the nearest integer? Interpretation: 1106 Challenge: What is the cube root of 6015890 to the nearest integer? Interpretation: 182 Challenge: What is 10015 to the power of 1/2, to the nearest integer? Interpretation: 100 Challenge: What is the seventh root of 125896430 to the nearest integer? Interpretation: 14 Challenge: What is 403267562 to the power of 1/2, to the nearest integer? Interpretation: 20082 Challenge: What is 3989548 to the power of 1/3, to the nearest integer? Interpretation: 159 Challenge: What is the cube root of 926138 to the nearest integer? Interpretation: 97 Challenge: What is the tenth root of 206223090
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arithmetic: nearest integer root -------------------------------- Step: What is 69966241 to the power of 1/3, to the nearest integer? Hence: 412 Step: What is the third root of 131219 to the nearest integer? Hence: 51 Step: What is 2709475 to the power of 1/3, to the nearest integer? Hence: 139 Step: What is 2683736 to the power of 1/9, to the nearest integer? Hence: 5 Step: What is 2120 to the power of 1/7, to the nearest integer? Hence: 3 Step: What is 2638549 to the power of 1/2, to the nearest integer? Hence: 1624 Step: What is 4257 to the power of 1/3, to the nearest integer? Hence: 16 Step: What is the square root of 644086318 to the nearest integer? Hence: 25379 Step: What is the seventh root of 3185 to the nearest integer? Hence: 3 Step: What is the third root of 356153818 to the nearest integer? Hence: 709 Step: What is the third root of 3868 to the nearest integer? Hence: 16 Step: What is the square root of 494590 to the nearest integer? Hence: 703 Step: What is 243652849 to the power of 1/10, to the nearest integer? Hence: 7 Step: What is 270925 to the power of 1/2, to the nearest integer? Hence: 521 Step: What is 1039936858 to the power of 1/3, to the nearest integer? Hence: 1013 Step: What is the cube root of 4502 to the nearest integer? Hence: 17 Step: What is the eighth root of 2507 to the nearest integer? Hence: 3 Step: What is 523 to the power of 1/3, to the nearest integer? Hence: 8 Step: What is the sixth root of 112829 to the nearest integer? Hence: 7 Step: What is the cube root of 196795 to the nearest integer? Hence: 58 Step: What is the ninth root of 11727 to the nearest integer? Hence: 3 Step: What is the fourth root of 6534778 to the nearest integer? Hence: 51 Step: What is the square root of 3237020 to the nearest integer? Hence: 1799 Step: What is the ninth root of 437247026 to the nearest integer? Hence: 9 Step: What is the square root of 5063 to the nearest integer? Hence: 71 Step: What is 29479623 to the power of 1/3, to the nearest int
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numbers: gcd ------------ Example: What is the highest common factor of 8 and 100? Conclusion: 4 Example: Calculate the highest common divisor of 1703358 and 2422. Conclusion: 346 Example: What is the greatest common factor of 14308 and 2845528? Conclusion: 196 Example: Calculate the highest common factor of 551 and 76. Conclusion: 19 Example: Calculate the highest common factor of 1295 and 703. Conclusion: 37 Example: What is the greatest common factor of 23790 and 226980? Conclusion: 390 Example: Calculate the greatest common divisor of 6794 and 86. Conclusion: 86 Example: What is the highest common divisor of 25852721 and 8012? Conclusion: 2003 Example: Calculate the greatest common divisor of 1596436 and 68204. Conclusion: 1156 Example: Calculate the greatest common factor of 16370 and 2130. Conclusion: 10 Example: What is the highest common factor of 239 and 5208? Conclusion: 1 Example: What is the highest common factor of 627 and 171? Conclusion: 57 Example: What is the greatest common factor of 196141 and 242? Conclusion: 121 Example: Calculate the highest common factor of 10697 and 57. Conclusion: 19 Example: Calculate the highest common factor of 319774 and 40014. Conclusion: 26 Example: Calculate the highest common factor of 20904 and 45084. Conclusion: 156 Example: Calculate the highest common divisor of 51 and 663. Conclusion: 51 Example: What is the greatest common divisor of 71 and 1? Conclusion: 1 Example: Calculate the greatest common divisor of 105 and 35. Conclusion: 35 Example: What is the highest common factor of 10 and 1562? Conclusion: 2 Example: What is the highest common factor of 14736 and 51? Conclusion: 3 Example: Calculate the highest common factor of 1585332 and 216. Conclusion: 108 Example: What is the highest common factor of 86 and 559? Conclusion: 43 Example: What is the highest common divisor of 608850 and 396? Conclusion: 198 Example: Calculate the highest common divisor of 155 and 80. Conclusion: 5 Example: What is the greatest co
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probability: swr p level set ---------------------------- Part A: Two letters picked without replacement from {t: 2, u: 10, e: 3}. Give prob of picking 2 u. Hence: 3/7 Part A: Two letters picked without replacement from {u: 5, o: 2, p: 4}. What is prob of picking 1 p and 1 o? Hence: 8/55 Part A: What is prob of picking 2 s and 1 w when three letters picked without replacement from {s: 5, m: 3, e: 8, w: 1, x: 2}? Hence: 10/969 Part A: Two letters picked without replacement from {q: 1, y: 3, r: 4, f: 1, x: 5}. What is prob of picking 1 y and 1 r? Hence: 12/91 Part A: Calculate prob of picking 2 g when two letters picked without replacement from eggggge. Hence: 10/21 Part A: Calculate prob of picking 2 o and 1 w when three letters picked without replacement from {w: 4, a: 6, m: 1, o: 2}. Hence: 2/143 Part A: What is prob of picking 2 b and 2 z when four letters picked without replacement from {b: 5, z: 2}? Hence: 2/7 Part A: Calculate prob of picking 1 m and 1 c when two letters picked without replacement from {q: 1, a: 2, c: 9, m: 6}. Hence: 6/17 Part A: Calculate prob of picking 1 c and 1 m when two letters picked without replacement from ffynmfmynfyybfffcn. Hence: 2/153 Part A: Two letters picked without replacement from {m: 1, x: 1, o: 2}. Give prob of picking 1 x and 1 m. Hence: 1/6 Part A: What is prob of picking 1 o, 2 n, and 1 d when four letters picked without replacement from ntodgii? Hence: 0 Part A: Two letters picked without replacement from {u: 5, m: 1, h: 2, q: 2, p: 6, w: 3}. Give prob of picking 2 p. Hence: 5/57 Part A: What is prob of picking 2 n when two letters picked without replacement from {i: 2, n: 16}? Hence: 40/51 Part A: Three letters picked without replacement from icrcirrrbribirc. What is prob of picking 3 c? Hence: 1/455 Part A: Two letters picked without replacement from {i: 1, d: 14}. Give prob of picking 2 d. Hence: 13/15 Part A: Calculate prob of picking 2 f and 1 x when three letters picked without replacement from qqffqxqqxfxxfqqxqxq
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numbers: place value -------------------- Q=: What is the ten thousands digit of 19168? Math A: 1 Q=: What is the tens digit of 57088764? Math A: 6 Q=: What is the millions digit of 20970490? Math A: 0 Q=: What is the hundreds digit of 3076891? Math A: 8 Q=: What is the units digit of 7704555? Math A: 5 Q=: What is the tens digit of 55358? Math A: 5 Q=: What is the hundreds digit of 567066? Math A: 0 Q=: What is the tens digit of 7123764? Math A: 6 Q=: What is the ten thousands digit of 859707? Math A: 5 Q=: What is the thousands digit of 2676? Math A: 2 Q=: What is the hundred thousands digit of 19013793? Math A: 0 Q=: What is the tens digit of 6585? Math A: 8 Q=: What is the hundred millions digit of 260222032? Math A: 2 Q=: What is the tens digit of 53944490? Math A: 9 Q=: What is the tens digit of 22? Math A: 2 Q=: What is the units digit of 2468376? Math A: 6 Q=: What is the thousands digit of 24400? Math A: 4 Q=: What is the hundred thousands digit of 7951594? Math A: 9 Q=: What is the hundreds digit of 7230528? Math A: 5 Q=: What is the thousands digit of 6889? Math A: 6 Q=: What is the tens digit of 23572684? Math A: 8 Q=: What is the thousands digit of 585540? Math A: 5 Q=: What is the tens digit of 6876? Math A: 7 Q=: What is the millions digit of 18987353? Math A: 8 Q=: What is the hundred thousands digit of 59767243? Math A: 7 Q=: What is the tens digit of 21164342? Math A: 4 Q=: What is the hundred thousands digit of 917607? Math A: 9 Q=: What is the tens digit of 21808079? Math A: 7 Q=: What is the millions digit of 416151877? Math A: 6 Q=: What is the millions digit of 8230664? Math A: 8 Q=: What is the hundred thousands digit of 52042516? Math A: 0 Q=: What is the units digit of 1917066? Math A: 6 Q=: What is the tens digit of 3865358? Math A: 5 Q=: What is the units digit of 15540? Math A: 0 Q=: What is the millions digit of 8301816? Math A: 8 Q=: What is the ten thousands digit of 543090540? Math A: 9 Q=: What is the tens digit of 46150? Math A: 5
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numbers: place value -------------------- Prompt: What is the tens digit of 7112114? Result: 1 Prompt: What is the tens digit of 4356435? Result: 3 Prompt: What is the tens digit of 2334? Result: 3 Prompt: What is the tens digit of 1371? Result: 7 Prompt: What is the units digit of 72427? Result: 7 Prompt: What is the ten thousands digit of 29050? Result: 2 Prompt: What is the ten millions digit of 20646290? Result: 2 Prompt: What is the units digit of 230927? Result: 7 Prompt: What is the hundreds digit of 21526? Result: 5 Prompt: What is the hundred thousands digit of 772556048? Result: 5 Prompt: What is the units digit of 477153841? Result: 1 Prompt: What is the tens digit of 12435798? Result: 9 Prompt: What is the millions digit of 28376403? Result: 8 Prompt: What is the units digit of 661? Result: 1 Prompt: What is the thousands digit of 5049? Result: 5 Prompt: What is the tens digit of 1367? Result: 6 Prompt: What is the thousands digit of 2604? Result: 2 Prompt: What is the units digit of 125176? Result: 6 Prompt: What is the thousands digit of 7030475? Result: 0 Prompt: What is the ten thousands digit of 233596206? Result: 9 Prompt: What is the hundreds digit of 24990? Result: 9 Prompt: What is the hundred thousands digit of 2748654? Result: 7 Prompt: What is the hundreds digit of 242808? Result: 8 Prompt: What is the hundreds digit of 697413397? Result: 3 Prompt: What is the tens digit of 49216? Result: 1 Prompt: What is the units digit of 53188438? Result: 8 Prompt: What is the thousands digit of 82185? Result: 2 Prompt: What is the hundreds digit of 5742? Result: 7 Prompt: What is the hundreds digit of 1969362911? Result: 9 Prompt: What is the ten thousands digit of 41051? Result: 4 Prompt: What is the thousands digit of 16549279? Result: 9 Prompt: What is the hundred thousands digit of 632570122? Result: 5 Prompt: What is the hundred millions digit of 117503234? Result: 1 Prompt: What is the ten thousands digit of 209889? Result: 0 Prompt: What is the hu
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numbers: gcd composed --------------------- Problem Statement: Let f(r) = r + 7 - 4*r**2 + 0*r**2 + 8*r - r**2 - r**3. Let g be f(-7). What is the highest common divisor of 6 and g? Interpretation: 6 Problem Statement: Let k be 558/(-9*(-40)/60). Suppose 5*x + 3*b = 325, -228 = -4*x - 3*b + 7*b. Calculate the highest common divisor of x and k. Interpretation: 31 Problem Statement: Let o be (-102)/(-24)*(10 + -2). Suppose 3*d = 4*n + 161, 166 = 3*d + 3*n - 2*n. Suppose d = 4*s - 13. What is the greatest common divisor of o and s? Interpretation: 17 Problem Statement: Let j = -171 - -491. Suppose j - 125 = 13*z. Calculate the highest common divisor of z and 285. Interpretation: 15 Problem Statement: Suppose l - 3*g = 106, -7*l - 78*g + 83*g = -774. What is the highest common divisor of 2192 and l? Interpretation: 16 Problem Statement: Suppose 0 = -2*o + 11 - 3. Suppose -4 = -o*i, -2*j - 3*j + 4*i = -86. Calculate the highest common factor of j and 9. Interpretation: 9 Problem Statement: Let y(k) = k**2 + k - 8. Let a be y(5). Calculate the highest common factor of 55 and a. Interpretation: 11 Problem Statement: Let t = 15 + -9. Let y be 36/(-60)*-15 - (-1911)/7. What is the greatest common factor of y and t? Interpretation: 6 Problem Statement: Let u(y) = -y**3 - 46*y**2 - 8*y - 56. Let b be u(-46). Calculate the greatest common factor of b and 24. Interpretation: 24 Problem Statement: Suppose 0*v + 39 = 5*v - i, v + i - 3 = 0. Suppose 3*k = 67 + 17. What is the greatest common divisor of k and v? Interpretation: 7 Problem Statement: Let g(w) = 16*w - 4. Let q be g(2). Let d = -12 + q. Let f(j) = -23*j + 2. Let o be f(-2). What is the greatest common factor of d and o? Interpretation: 16 Problem Statement: Let s = 82 + -45. Let h = s + -25. Calculate the greatest common factor of 132 and h. Interpretation: 12 Problem Statement: Let s be ((-216)/(-198))/(10/55). What is the highest common divisor of s and 14? Interpretation: 2 Problem Statement: Let k(w) be the second
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numbers: div remainder ---------------------- Q=: Calculate the remainder when 842 is divided by 121. Calculation: 116 Q=: What is the remainder when 829 is divided by 691? Calculation: 138 Q=: What is the remainder when 703 is divided by 32? Calculation: 31 Q=: Calculate the remainder when 2177 is divided by 86. Calculation: 27 Q=: Calculate the remainder when 15415 is divided by 79. Calculation: 10 Q=: What is the remainder when 121729 is divided by 62? Calculation: 23 Q=: Calculate the remainder when 312872 is divided by 1572. Calculation: 44 Q=: What is the remainder when 49215 is divided by 79? Calculation: 77 Q=: What is the remainder when 93074 is divided by 130? Calculation: 124 Q=: What is the remainder when 326 is divided by 41? Calculation: 39 Q=: Calculate the remainder when 97260 is divided by 86. Calculation: 80 Q=: What is the remainder when 1296 is divided by 422? Calculation: 30 Q=: Calculate the remainder when 1863 is divided by 517. Calculation: 312 Q=: Calculate the remainder when 10174 is divided by 16. Calculation: 14 Q=: Calculate the remainder when 168207 is divided by 22. Calculation: 17 Q=: Calculate the remainder when 6908 is divided by 1920. Calculation: 1148 Q=: Calculate the remainder when 12662 is divided by 57. Calculation: 8 Q=: What is the remainder when 25700 is divided by 3197? Calculation: 124 Q=: Calculate the remainder when 2232563 is divided by 96. Calculation: 83 Q=: Calculate the remainder when 48558 is divided by 9083. Calculation: 3143 Q=: Calculate the remainder when 22492 is divided by 21941. Calculation: 551 Q=: Calculate the remainder when 1234656 is divided by 24. Calculation: 0 Q=: What is the remainder when 1476 is divided by 1447? Calculation: 29 Q=: Calculate the remainder when 61445 is divided by 5328. Calculation: 2837 Q=: What is the remainder when 2994 is divided by 518? Calculation: 404 Q=: Calculate the remainder when 1149 is divided by 96. Calculation: 93 Q=: What is the remainder when 32 is divided by 2? C
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numbers: place value -------------------- Example: What is the units digit of 1590? A: 0 Example: What is the thousands digit of 8274936? A: 4 Example: What is the thousands digit of 6755414? A: 5 Example: What is the ten thousands digit of 20846? A: 2 Example: What is the hundreds digit of 2413487413? A: 4 Example: What is the units digit of 529545974? A: 4 Example: What is the hundreds digit of 97943? A: 9 Example: What is the hundreds digit of 991? A: 9 Example: What is the thousands digit of 6169? A: 6 Example: What is the tens digit of 949? A: 4 Example: What is the ten thousands digit of 20811988? A: 1 Example: What is the hundreds digit of 116149210? A: 2 Example: What is the hundreds digit of 155103? A: 1 Example: What is the units digit of 145573? A: 3 Example: What is the tens digit of 2190? A: 9 Example: What is the hundreds digit of 3660860353? A: 3 Example: What is the ten thousands digit of 89899? A: 8 Example: What is the units digit of 2525? A: 5 Example: What is the units digit of 4063? A: 3 Example: What is the hundreds digit of 21161431? A: 4 Example: What is the thousands digit of 2577646? A: 7 Example: What is the ten thousands digit of 3490570? A: 9 Example: What is the tens digit of 574924947? A: 4 Example: What is the tens digit of 220212881? A: 8 Example: What is the millions digit of 1499136? A: 1 Example: What is the hundred thousands digit of 507324? A: 5 Example: What is the hundreds digit of 149362038? A: 0 Example: What is the thousands digit of 116082507? A: 2 Example: What is the units digit of 5193? A: 3 Example: What is the hundred thousands digit of 1051014822? A: 0 Example: What is the ten millions digit of 810320280? A: 1 Example: What is the units digit of 623618? A: 8 Example: What is the ten thousands digit of 1027091? A: 2 Example: What is the hundreds digit of 1626? A: 6 Example: What is the hundreds digit of 981? A: 9 Example: What is the tens digit of 6781? A: 8 Example: What is the hundred thousands digit of 4305401? A:
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numbers: is factor ------------------ Problem: Is 91620510 a multiple of 37? Interpretation: True Problem: Is 696423 a multiple of 11? Interpretation: False Problem: Is 466 a factor of 1765444262? Interpretation: True Problem: Is 670 a factor of 1378860? Interpretation: True Problem: Is 90 a factor of 14111? Interpretation: False Problem: Does 612 divide 1217268? Interpretation: True Problem: Is 5 a factor of 9719380? Interpretation: True Problem: Does 11 divide 122744? Interpretation: False Problem: Is 50786252 a multiple of 13? Interpretation: False Problem: Is 42 a factor of 42? Interpretation: True Problem: Is 756 a multiple of 61? Interpretation: False Problem: Is 9 a factor of 71505? Interpretation: True Problem: Does 198 divide 3630528? Interpretation: True Problem: Is 102 a factor of 1701870? Interpretation: True Problem: Is 1480 a multiple of 20? Interpretation: True Problem: Is 1728 a multiple of 15? Interpretation: False Problem: Is 111 a factor of 9990? Interpretation: True Problem: Does 169 divide 2578162? Interpretation: False Problem: Is 374 a multiple of 17? Interpretation: True Problem: Does 110 divide 3630? Interpretation: True Problem: Is 2100 a multiple of 175? Interpretation: True Problem: Is 89 a factor of 801178? Interpretation: True Problem: Is 9 a factor of 14907780? Interpretation: True Problem: Is 510 a factor of 106080? Interpretation: True Problem: Does 1089 divide 874029733? Interpretation: False Problem: Is 12 a factor of 475603? Interpretation: False Problem: Is 1769202 a multiple of 603? Interpretation: True Problem: Does 192 divide 478031? Interpretation: False Problem: Is 1807993720 a multiple of 130? Interpretation: True Problem: Does 49 divide 3066126? Interpretation: True Problem: Is 450 a factor of 1894950? Interpretation: True Problem: Is 11 a factor of 3839? Interpretation: True Problem: Is 63 a factor of 568545238? Interpretation: False Problem: Is 172 a factor of 453956160? Interpretation: True Problem: Is 8 a factor of 371
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numbers: is prime ----------------- Issue: Is 47654213851 a composite number? Workthrough: False Issue: Is 305618 a composite number? Workthrough: True Issue: Is 167015645 composite? Workthrough: True Issue: Is 150375809 a prime number? Workthrough: True Issue: Is 825964673 a composite number? Workthrough: False Issue: Is 4709938309 prime? Workthrough: True Issue: Is 29373 a composite number? Workthrough: True Issue: Is 19619 a prime number? Workthrough: False Issue: Is 264211 prime? Workthrough: True Issue: Is 17579899069 composite? Workthrough: True Issue: Is 734377 composite? Workthrough: True Issue: Is 541904042 composite? Workthrough: True Issue: Is 7279 a prime number? Workthrough: False Issue: Is 406739 composite? Workthrough: False Issue: Is 833775779 composite? Workthrough: True Issue: Is 49989283 a prime number? Workthrough: True Issue: Is 79594561 a prime number? Workthrough: False Issue: Is 2115391 a prime number? Workthrough: False Issue: Is 134207 a prime number? Workthrough: True Issue: Is 11518318921 a composite number? Workthrough: True Issue: Is 133374473 composite? Workthrough: False Issue: Is 10429337 a composite number? Workthrough: False Issue: Is 970603 a prime number? Workthrough: True Issue: Is 19439620853 composite? Workthrough: True Issue: Is 230849 a composite number? Workthrough: False Issue: Is 63731561 a composite number? Workthrough: False Issue: Is 3011287 a composite number? Workthrough: False Issue: Is 38002 prime? Workthrough: False Issue: Is 54213557 a composite number? Workthrough: True Issue: Is 4981 prime? Workthrough: False Issue: Is 56873227569 composite? Workthrough: True Issue: Is 313724003 prime? Workthrough: True Issue: Is 4994941 a prime number? Workthrough: False Issue: Is 42396941 a composite number? Workthrough: True Issue: Is 29664972157 prime? Workthrough: True Issue: Is 768409 a prime number? Workthrough: True Issue: Is 714073 a prime number? Workthrough: True Issue: Is 5201211271 prime? Workthrough: False Issue:
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probability: swr p level set ---------------------------- Scenario: What is prob of picking 1 a and 2 d when three letters picked without replacement from dwlladwklwd? Eval: 1/55 Scenario: Calculate prob of picking 2 o, 1 k, and 1 i when four letters picked without replacement from mvvvvzivviokzzovkkzz. Eval: 2/1615 Scenario: Three letters picked without replacement from uqucqucuuquuuquuqcc. Give prob of picking 1 q, 1 u, and 1 c. Eval: 200/969 Scenario: Three letters picked without replacement from xuusxxsxuxnsunxxxuxx. Give prob of picking 1 x and 2 n. Eval: 1/114 Scenario: Four letters picked without replacement from {i: 3, m: 1, h: 6, n: 1, q: 2, c: 2}. Give prob of picking 1 i, 1 c, and 2 h. Eval: 6/91 Scenario: Three letters picked without replacement from {n: 4, o: 2, b: 1, l: 6, g: 2}. What is prob of picking 2 g and 1 n? Eval: 4/455 Scenario: Three letters picked without replacement from llllllyllyy. What is prob of picking 3 y? Eval: 1/165 Scenario: Four letters picked without replacement from nnpvvpnnvnnnnnvnh. Give prob of picking 4 v. Eval: 1/2380 Scenario: What is prob of picking 2 b and 1 r when three letters picked without replacement from brbiqqriii? Eval: 1/60 Scenario: Calculate prob of picking 2 a when two letters picked without replacement from appppppppppa. Eval: 1/66 Scenario: Four letters picked without replacement from aewimewib. Give prob of picking 1 m, 1 i, and 2 w. Eval: 1/63 Scenario: What is prob of picking 1 g, 1 i, and 1 r when three letters picked without replacement from gghhrgiihggg? Eval: 3/55 Scenario: Calculate prob of picking 2 v and 1 o when three letters picked without replacement from {k: 2, f: 2, v: 2, l: 1, g: 4, o: 4}. Eval: 4/455 Scenario: Calculate prob of picking 2 c when two letters picked without replacement from {c: 7, z: 3, e: 2, m: 8}. Eval: 21/190 Scenario: Three letters picked without replacement from {z: 4, c: 2, t: 2, p: 2}. What is prob of picking 1 t and 2 z? Eval: 1/10 Scenario: What is prob of picking 1 q
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measurement: time ----------------- Example: How many minutes are there between 8:16 AM and 4:02 PM? Explanation: 466 Example: What is 292 minutes before 7:58 PM? Explanation: 3:06 PM Example: What is 52 minutes after 8:51 PM? Explanation: 9:43 PM Example: How many minutes are there between 10:04 AM and 4:46 PM? Explanation: 402 Example: What is 127 minutes after 7:33 AM? Explanation: 9:40 AM Example: How many minutes are there between 8:59 PM and 8:14 AM? Explanation: 675 Example: How many minutes are there between 11:51 AM and 5:01 PM? Explanation: 310 Example: How many minutes are there between 12:13 PM and 11:22 PM? Explanation: 669 Example: What is 535 minutes before 8:37 PM? Explanation: 11:42 AM Example: How many minutes are there between 10:37 AM and 4:21 PM? Explanation: 344 Example: What is 504 minutes before 11:58 PM? Explanation: 3:34 PM Example: What is 264 minutes after 11:46 PM? Explanation: 4:10 AM Example: What is 345 minutes before 3:53 AM? Explanation: 10:08 PM Example: What is 97 minutes after 10:52 AM? Explanation: 12:29 PM Example: How many minutes are there between 6:17 PM and 7:46 PM? Explanation: 89 Example: What is 159 minutes before 5:26 PM? Explanation: 2:47 PM Example: How many minutes are there between 9:16 AM and 6:40 PM? Explanation: 564 Example: How many minutes are there between 6:00 PM and 6:41 PM? Explanation: 41 Example: What is 524 minutes after 1:35 AM? Explanation: 10:19 AM Example: How many minutes are there between 6:40 PM and 6:02 AM? Explanation: 682 Example: How many minutes are there between 9:38 PM and 6:15 AM? Explanation: 517 Example: What is 286 minutes after 8:14 AM? Explanation: 1:00 PM Example: How many minutes are there between 12:56 PM and 8:19 PM? Explanation: 443 Example: How many minutes are there between 8:12 PM and 5:18 AM? Explanation: 546 Example: What is 643 minutes after 9:52 PM? Explanation: 8:35 AM Example: How many minutes are there between 11:38 AM and 10:50 PM? Explanation: 672 Example: What is 298
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probability: swr p sequence --------------------------- Request: Three letters picked without replacement from ynbbbsnbdd. Give prob of sequence sdb. Soln: 1/90 Request: What is prob of sequence llal when four letters picked without replacement from {a: 3, v: 1, l: 11}? Soln: 33/364 Request: Calculate prob of sequence srfk when four letters picked without replacement from kyyfrkryks. Soln: 1/840 Request: Calculate prob of sequence lfa when three letters picked without replacement from {f: 2, t: 4, l: 2, y: 2, o: 1, a: 1}. Soln: 1/330 Request: Calculate prob of sequence na when two letters picked without replacement from aaaanaanaaaaa. Soln: 11/78 Request: Four letters picked without replacement from kkkkkkkkkk. Give prob of sequence kkkk. Soln: 1 Request: Four letters picked without replacement from pyyyppypysppssypp. Give prob of sequence spys. Soln: 3/595 Request: Three letters picked without replacement from qqccbceuzqqcc. Give prob of sequence bqq. Soln: 1/143 Request: What is prob of sequence mz when two letters picked without replacement from mzzzm? Soln: 3/10 Request: Four letters picked without replacement from fdfzzsffzsyzzfzy. Give prob of sequence szyf. Soln: 1/364 Request: Calculate prob of sequence wuv when three letters picked without replacement from {i: 4, y: 1, u: 2, n: 1, w: 2, v: 5}. Soln: 2/273 Request: What is prob of sequence uu when two letters picked without replacement from {h: 2, o: 2, g: 5, y: 5, u: 2, m: 2}? Soln: 1/153 Request: Calculate prob of sequence shhh when four letters picked without replacement from hhshssssshhhhshhhhss. Soln: 99/1292 Request: Calculate prob of sequence ie when two letters picked without replacement from {e: 2, f: 5, i: 1, p: 1, o: 2, c: 2}. Soln: 1/78 Request: Three letters picked without replacement from ziril. What is prob of sequence rzz? Soln: 0 Request: Calculate prob of sequence egoo when four letters picked without replacement from oooeaga. Soln: 1/140 Request: What is prob of sequence bbb when three let
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measurement: conversion ----------------------- Q-: How many millilitres are there in 73/4 of a litre? Solution: 18250 Q-: How many decades are there in 443.5851 years? Solution: 44.35851 Q-: How many micrograms are there in one fifth of a milligram? Solution: 200 Q-: What is twenty-one quarters of a year in months? Solution: 63 Q-: How many months are there in 921164.2 years? Solution: 11053970.4 Q-: How many meters are there in eleven halves of a kilometer? Solution: 5500 Q-: How many years are there in 11/10 of a century? Solution: 110 Q-: What is 21/4 of a millennium in decades? Solution: 525 Q-: What is 238808.2 centuries in months? Solution: 286569840 Q-: How many millilitres are there in 1/10 of a litre? Solution: 100 Q-: How many hours are there in 790800.57 milliseconds? Solution: 0.219666825 Q-: What is 65.34342 millilitres in litres? Solution: 0.06534342 Q-: How many weeks are there in 11667.3669 microseconds? Solution: 0.00000001929128125 Q-: What is 404969.8 millilitres in litres? Solution: 404.9698 Q-: What is 6923.105 millilitres in litres? Solution: 6.923105 Q-: How many kilograms are there in 6/5 of a tonne? Solution: 1200 Q-: How many millilitres are there in twenty-one halves of a litre? Solution: 10500 Q-: How many meters are there in five eighths of a kilometer? Solution: 625 Q-: What is eleven halves of a centimeter in micrometers? Solution: 55000 Q-: How many microseconds are there in 598058.9 days? Solution: 51672288960000000 Q-: Convert 2.186918 nanometers to micrometers. Solution: 0.002186918 Q-: How many centimeters are there in 25/4 of a meter? Solution: 625 Q-: What is twenty-five quarters of a kilometer in meters? Solution: 6250 Q-: What is 72305.7kg in micrograms? Solution: 72305700000000 Q-: How many weeks are there in 5820882.48ms? Solution: 0.009624475 Q-: How many meters are there in 85905.47 millimeters? Solution: 85.90547 Q-: What is 13497.11 years in decades? Solution: 1349.711 Q-: How many milliseconds are there in 309949.5 wee
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numbers: div remainder ---------------------- Task: Calculate the remainder when 194645 is divided by 194609. A.: 36 Task: Calculate the remainder when 92270 is divided by 44800. A.: 2670 Task: Calculate the remainder when 670183 is divided by 12185. A.: 8 Task: Calculate the remainder when 1020538 is divided by 2144. A.: 2138 Task: What is the remainder when 74062 is divided by 211? A.: 1 Task: What is the remainder when 7865 is divided by 17? A.: 11 Task: Calculate the remainder when 518070937 is divided by 14. A.: 13 Task: Calculate the remainder when 585920 is divided by 216. A.: 128 Task: What is the remainder when 848 is divided by 21? A.: 8 Task: Calculate the remainder when 3602878 is divided by 270. A.: 268 Task: What is the remainder when 74089677 is divided by 565570? A.: 7 Task: Calculate the remainder when 4230 is divided by 169. A.: 5 Task: What is the remainder when 89903 is divided by 41704? A.: 6495 Task: Calculate the remainder when 232 is divided by 12. A.: 4 Task: Calculate the remainder when 5031 is divided by 1453. A.: 672 Task: Calculate the remainder when 54376781 is divided by 1203. A.: 1181 Task: What is the remainder when 2361 is divided by 778? A.: 27 Task: What is the remainder when 281 is divided by 49? A.: 36 Task: Calculate the remainder when 950 is divided by 17. A.: 15 Task: Calculate the remainder when 28777 is divided by 574. A.: 77 Task: What is the remainder when 383491 is divided by 2294? A.: 393 Task: Calculate the remainder when 34364 is divided by 109. A.: 29 Task: What is the remainder when 1460 is divided by 581? A.: 298 Task: Calculate the remainder when 22144 is divided by 215. A.: 214 Task: Calculate the remainder when 439591 is divided by 36605. A.: 331 Task: What is the remainder when 19809 is divided by 4947? A.: 21 Task: What is the remainder when 34398704 is divided by 34398700? A.: 4 Task: What is the remainder when 4249 is divided by 10? A.: 9 Task: Calculate the remainder when 18028 is divided by 30. A.: 28 Task
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probability: swr p level set ---------------------------- Query: Four letters picked without replacement from eteeeeeeeeeeeetetet. Give prob of picking 1 e and 3 t. Ans: 5/323 Query: Two letters picked without replacement from aammyanaaaaiiaama. Give prob of picking 1 n and 1 a. Ans: 5/68 Query: What is prob of picking 2 d and 1 c when three letters picked without replacement from mdmammmdmvacdv? Ans: 3/364 Query: Two letters picked without replacement from {l: 8, a: 2}. Give prob of picking 2 a. Ans: 1/45 Query: Four letters picked without replacement from {t: 10, v: 4}. What is prob of picking 2 t and 2 v? Ans: 270/1001 Query: Two letters picked without replacement from msammmsmcmspssa. Give prob of picking 1 c and 1 a. Ans: 2/105 Query: Four letters picked without replacement from {l: 2, v: 5, c: 5}. What is prob of picking 1 v and 3 c? Ans: 10/99 Query: Three letters picked without replacement from {g: 4, i: 1, l: 1, w: 4, r: 1, m: 3}. What is prob of picking 1 i, 1 l, and 1 m? Ans: 3/364 Query: Calculate prob of picking 4 z when four letters picked without replacement from {i: 2, z: 8}. Ans: 1/3 Query: What is prob of picking 1 s, 1 a, and 1 e when three letters picked without replacement from {y: 2, b: 6, a: 4, s: 2, e: 1, u: 2}? Ans: 1/85 Query: What is prob of picking 2 a when two letters picked without replacement from hcccmaacaahahcccchcc? Ans: 1/19 Query: Four letters picked without replacement from {l: 3, w: 13}. Give prob of picking 2 w and 2 l. Ans: 9/70 Query: Calculate prob of picking 1 k, 1 r, and 1 u when three letters picked without replacement from keucrruo. Ans: 1/14 Query: Calculate prob of picking 2 f when two letters picked without replacement from kffkfffkfzfkzkzfz. Ans: 7/34 Query: What is prob of picking 1 o and 2 u when three letters picked without replacement from uuouudooodoo? Ans: 9/55 Query: Three letters picked without replacement from gggggkgggggggkk. What is prob of picking 1 k and 2 g? Ans: 198/455 Query: Three letters picked with
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measurement: conversion ----------------------- Task: How many milligrams are there in 83.26768ug? Sol: 0.08326768 Task: How many micrometers are there in 17/4 of a millimeter? Sol: 4250 Task: What is 35199.66nm in micrometers? Sol: 35.19966 Task: How many months are there in 4.576231 centuries? Sol: 5491.4772 Task: How many minutes are there in thirty-two fifths of a hour? Sol: 384 Task: How many millilitres are there in three tenths of a litre? Sol: 300 Task: What is eleven halves of a decade in years? Sol: 55 Task: What is 9077.79 meters in millimeters? Sol: 9077790 Task: How many nanograms are there in 346.9928 grams? Sol: 346992800000 Task: What is 88385.65ml in litres? Sol: 88.38565 Task: Convert 0.8672348 years to months. Sol: 10.4068176 Task: What is 31/5 of a litre in millilitres? Sol: 6200 Task: What is 5/8 of a millimeter in micrometers? Sol: 625 Task: How many milliseconds are there in 6/25 of a second? Sol: 240 Task: How many millilitres are there in 83741.99l? Sol: 83741990 Task: How many minutes are there in 75541.52 hours? Sol: 4532491.2 Task: What is 89552.8 litres in millilitres? Sol: 89552800 Task: How many nanograms are there in 3/5 of a microgram? Sol: 600 Task: What is thirteen quarters of a litre in millilitres? Sol: 3250 Task: What is fifteen quarters of a kilometer in meters? Sol: 3750 Task: What is 71370.42 litres in millilitres? Sol: 71370420 Task: Convert 478447.4 tonnes to grams. Sol: 478447400000 Task: What is 6/25 of a kilometer in centimeters? Sol: 24000 Task: How many litres are there in 0.3272991 millilitres? Sol: 0.0003272991 Task: What is 94.13237cm in micrometers? Sol: 941323.7 Task: How many nanograms are there in twenty-one eighths of a microgram? Sol: 2625 Task: Convert 165.213 decades to months. Sol: 19825.56 Task: What is 3.791244 kilograms in milligrams? Sol: 3791244 Task: What is 3/5 of a millennium in centuries? Sol: 6 Task: What is 56963.9 centuries in months? Sol: 68356680 Task: What is 4.885871l in millilitres? Sol: 48
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probability: swr p level set ---------------------------- Q): Three letters picked without replacement from vfffqvvqqzkzqzqfqq. Give prob of picking 1 k and 2 z. Reply: 1/272 Q): What is prob of picking 3 r and 1 o when four letters picked without replacement from zodrwwzdrmordoddddz? Reply: 1/1292 Q): Two letters picked without replacement from {f: 1, z: 2, c: 2, a: 1}. What is prob of picking 2 z? Reply: 1/15 Q): What is prob of picking 1 p, 1 u, and 2 e when four letters picked without replacement from fepfeeppfffuufefep? Reply: 4/153 Q): Four letters picked without replacement from spuxqgsupsxqxuggq. What is prob of picking 1 p, 2 u, and 1 x? Reply: 9/1190 Q): Two letters picked without replacement from xatqax. What is prob of picking 1 t and 1 x? Reply: 2/15 Q): Two letters picked without replacement from pppvvvpvlvppvv. Give prob of picking 1 p and 1 v. Reply: 6/13 Q): Calculate prob of picking 2 n and 1 a when three letters picked without replacement from {n: 2, y: 1, m: 4, a: 4}. Reply: 4/165 Q): Four letters picked without replacement from {j: 5, w: 1, x: 1, d: 4}. What is prob of picking 1 w, 2 j, and 1 x? Reply: 1/33 Q): What is prob of picking 1 n and 2 g when three letters picked without replacement from {g: 9, n: 5}? Reply: 45/91 Q): What is prob of picking 1 a, 1 i, and 1 f when three letters picked without replacement from {i: 1, z: 2, n: 1, u: 1, a: 1, f: 2}? Reply: 1/28 Q): What is prob of picking 1 a and 1 b when two letters picked without replacement from {a: 1, e: 1, b: 2, y: 2}? Reply: 2/15 Q): Two letters picked without replacement from {u: 6, s: 3, a: 1, m: 1, v: 1}. What is prob of picking 1 a and 1 s? Reply: 1/22 Q): Calculate prob of picking 1 f and 1 t when two letters picked without replacement from {f: 1, t: 1, k: 1, y: 1, z: 1}. Reply: 1/10 Q): Two letters picked without replacement from bbkkoobbbbbobkbko. What is prob of picking 1 k and 1 o? Reply: 2/17 Q): Three letters picked without replacement from {f: 1, z: 2, o: 3, s: 6, r: 6}.
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probability: swr p sequence --------------------------- Subject: Two letters picked without replacement from {f: 1, e: 1, x: 1}. What is prob of sequence ex? A: 1/6 Subject: Four letters picked without replacement from {u: 6, i: 6}. What is prob of sequence iuiu? A: 5/66 Subject: Three letters picked without replacement from {e: 1, z: 5, k: 5, l: 7, d: 1, h: 1}. What is prob of sequence hzk? A: 5/1368 Subject: What is prob of sequence dptm when four letters picked without replacement from {d: 2, n: 5, p: 3, m: 6, t: 2, a: 1}? A: 1/1292 Subject: Three letters picked without replacement from {p: 1, l: 4, n: 8}. Give prob of sequence lnp. A: 8/429 Subject: Two letters picked without replacement from npmenpdnpmnepenemmm. What is prob of sequence mn? A: 25/342 Subject: Four letters picked without replacement from jyyyiiicpipcicpgpc. Give prob of sequence gipi. A: 1/918 Subject: What is prob of sequence ddw when three letters picked without replacement from dwwwwyddwwwwwd? A: 9/182 Subject: Four letters picked without replacement from jjjrjjjjjjjjrjjjrjjj. Give prob of sequence jjjj. A: 28/57 Subject: What is prob of sequence bmbb when four letters picked without replacement from mmmbbbmgbm? A: 1/42 Subject: Calculate prob of sequence xy when two letters picked without replacement from {v: 1, y: 1, a: 1, x: 1, b: 1}. A: 1/20 Subject: Two letters picked without replacement from {o: 3, t: 5, y: 5, e: 3, m: 1, b: 1}. What is prob of sequence eo? A: 1/34 Subject: Calculate prob of sequence uu when two letters picked without replacement from {f: 4, x: 3, u: 2}. A: 1/36 Subject: Calculate prob of sequence icvl when four letters picked without replacement from ccivcvciccclcc. A: 3/2002 Subject: What is prob of sequence sfdd when four letters picked without replacement from {f: 2, j: 2, e: 5, s: 2, d: 2}? A: 1/2145 Subject: Calculate prob of sequence ls when two letters picked without replacement from {x: 2, d: 3, y: 2, s: 1, h: 6, l: 6}. A: 3/190 Subject: Calculate prob of seque
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arithmetic: nearest integer root -------------------------------- Let us solve: What is the eighth root of 2333 to the nearest integer? Explanation: 3 Let us solve: What is 2076 to the power of 1/10, to the nearest integer? Explanation: 2 Let us solve: What is 10779 to the power of 1/6, to the nearest integer? Explanation: 5 Let us solve: What is the third root of 99776 to the nearest integer? Explanation: 46 Let us solve: What is the third root of 4122187745 to the nearest integer? Explanation: 1603 Let us solve: What is 115440 to the power of 1/3, to the nearest integer? Explanation: 49 Let us solve: What is 11399 to the power of 1/7, to the nearest integer? Explanation: 4 Let us solve: What is the square root of 1018208 to the nearest integer? Explanation: 1009 Let us solve: What is 196238 to the power of 1/7, to the nearest integer? Explanation: 6 Let us solve: What is 615236726 to the power of 1/5, to the nearest integer? Explanation: 57 Let us solve: What is the third root of 3621550 to the nearest integer? Explanation: 154 Let us solve: What is the square root of 327291 to the nearest integer? Explanation: 572 Let us solve: What is 23863 to the power of 1/9, to the nearest integer? Explanation: 3 Let us solve: What is 211159047 to the power of 1/7, to the nearest integer? Explanation: 15 Let us solve: What is the square root of 161387 to the nearest integer? Explanation: 402 Let us solve: What is 257185582 to the power of 1/3, to the nearest integer? Explanation: 636 Let us solve: What is 107023967 to the power of 1/3, to the nearest integer? Explanation: 475 Let us solve: What is 1264047 to the power of 1/2, to the nearest integer? Explanation: 1124 Let us solve: What is 319433 to the power of 1/6, to the nearest integer? Explanation: 8 Let us solve: What is the cube root of 1822877783 to the nearest integer? Explanation: 1222 Let us solve: What is 3391732 to the power of 1/3, to the nearest integer? Explanation: 150 Let us solve: What is the tenth root of 7
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numbers: is prime ----------------- Subject: Is 2021460521 composite? Result: True Subject: Is 18602407343 a prime number? Result: False Subject: Is 1120468909 a composite number? Result: True Subject: Is 12787 a composite number? Result: True Subject: Is 4390884923 composite? Result: True Subject: Is 803539591 composite? Result: True Subject: Is 541513 composite? Result: True Subject: Is 84362677 a composite number? Result: True Subject: Is 5736766733 a prime number? Result: True Subject: Is 89271587 prime? Result: True Subject: Is 14330326301 composite? Result: True Subject: Is 1171847 a composite number? Result: False Subject: Is 21557 composite? Result: False Subject: Is 2287865303 a prime number? Result: False Subject: Is 18689390607 a prime number? Result: False Subject: Is 246371171 a prime number? Result: False Subject: Is 34421 a composite number? Result: False Subject: Is 521239 prime? Result: False Subject: Is 1613887597 a composite number? Result: True Subject: Is 150223565159 a prime number? Result: True Subject: Is 19551338035 composite? Result: True Subject: Is 2062969 prime? Result: False Subject: Is 62909921 prime? Result: True Subject: Is 591499 prime? Result: True Subject: Is 10000850395 prime? Result: False Subject: Is 20921157919 composite? Result: False Subject: Is 13837 composite? Result: True Subject: Is 4661 prime? Result: False Subject: Is 6049 a prime number? Result: False Subject: Is 8262768487 composite? Result: False Subject: Is 94250987 a composite number? Result: True Subject: Is 4483383 a composite number? Result: True Subject: Is 29081 prime? Result: False Subject: Is 3209527073 a prime number? Result: True Subject: Is 5413466999 a prime number? Result: True Subject: Is 8122783 a composite number? Result: True Subject: Is 1368013 a composite number? Result: False Subject: Is 297049 composite? Result: False Subject: Is 2239703 a composite number? Result: False Subject: Is 293071 composite? Result: False Subject: Is 72545449 a composi
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probability: swr p level set ---------------------------- Puzzle: What is prob of picking 3 m when three letters picked without replacement from {l: 15, m: 5}? Compute: 1/114 Puzzle: Three letters picked without replacement from {t: 5, p: 7}. What is prob of picking 3 p? Compute: 7/44 Puzzle: Three letters picked without replacement from {y: 4, h: 1, d: 2, c: 2}. Give prob of picking 1 h and 2 y. Compute: 1/14 Puzzle: What is prob of picking 2 z, 1 a, and 1 o when four letters picked without replacement from azazoazzzaaozoaazzz? Compute: 63/323 Puzzle: Calculate prob of picking 1 d and 2 p when three letters picked without replacement from {k: 1, d: 1, p: 3, q: 2}. Compute: 3/35 Puzzle: Calculate prob of picking 1 w and 1 l when two letters picked without replacement from xolwobw. Compute: 2/21 Puzzle: What is prob of picking 2 t and 1 a when three letters picked without replacement from tttataa? Compute: 18/35 Puzzle: Four letters picked without replacement from {r: 9}. What is prob of picking 4 r? Compute: 1 Puzzle: What is prob of picking 1 t and 1 e when two letters picked without replacement from {h: 2, f: 3, e: 2, v: 1, a: 6, t: 1}? Compute: 2/105 Puzzle: Three letters picked without replacement from jassfaffmfamffffy. Give prob of picking 1 f, 1 s, and 1 a. Compute: 6/85 Puzzle: Four letters picked without replacement from rcsrxcpxcxx. What is prob of picking 1 x, 2 p, and 1 c? Compute: 0 Puzzle: Two letters picked without replacement from {w: 4, e: 2, p: 2}. What is prob of picking 2 e? Compute: 1/28 Puzzle: What is prob of picking 1 i and 1 h when two letters picked without replacement from {w: 5, h: 13, i: 2}? Compute: 13/95 Puzzle: Two letters picked without replacement from {d: 2, m: 4, r: 4}. What is prob of picking 1 r and 1 d? Compute: 8/45 Puzzle: What is prob of picking 3 s and 1 c when four letters picked without replacement from {c: 9, s: 3}? Compute: 1/55 Puzzle: What is prob of picking 2 o when two letters picked without replacement from oooozop
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numbers: is factor ------------------ Prompt: Is 2073 a multiple of 99? Compute: False Prompt: Is 32625 a multiple of 87? Compute: True Prompt: Is 19 a factor of 246552436? Compute: True Prompt: Is 3 a factor of 2148479? Compute: False Prompt: Is 25 a factor of 3224? Compute: False Prompt: Does 33 divide 3924596? Compute: False Prompt: Is 2395 a factor of 755445270? Compute: True Prompt: Does 246 divide 18756? Compute: False Prompt: Does 46 divide 5336? Compute: True Prompt: Is 177532 a multiple of 394? Compute: False Prompt: Does 14 divide 17437266? Compute: True Prompt: Is 143963 a multiple of 313? Compute: False Prompt: Is 3360 a multiple of 14? Compute: True Prompt: Does 27 divide 119972? Compute: False Prompt: Is 421 a multiple of 108? Compute: False Prompt: Does 524 divide 889752? Compute: True Prompt: Is 32033277 a multiple of 37? Compute: False Prompt: Does 12 divide 216? Compute: True Prompt: Is 363 a factor of 233435136? Compute: True Prompt: Does 10 divide 1173? Compute: False Prompt: Is 21 a factor of 34616? Compute: False Prompt: Does 73 divide 17739? Compute: True Prompt: Does 42 divide 7106? Compute: False Prompt: Does 19 divide 1349? Compute: True Prompt: Is 2670888990 a multiple of 105? Compute: True Prompt: Does 311 divide 25813? Compute: True Prompt: Does 187 divide 1272441? Compute: False Prompt: Is 334 a factor of 107214? Compute: True Prompt: Does 4 divide 438? Compute: False Prompt: Is 756 a multiple of 42? Compute: True Prompt: Is 2187216 a multiple of 27? Compute: True Prompt: Is 84 a factor of 372876? Compute: True Prompt: Is 152606 a multiple of 114? Compute: False Prompt: Is 2970 a multiple of 11? Compute: True Prompt: Does 15 divide 2820? Compute: True Prompt: Does 72 divide 2747? Compute: False Prompt: Is 421 a multiple of 28? Compute: False Prompt: Is 117414412 a multiple of 139? Compute: True Prompt: Is 6142633 a multiple of 7? Compute: True Prompt: Is 553270 a multiple of 10? Compute: True Prompt: Is 69989 a multiple of 55? Compute:
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numbers: place value -------------------- Item: What is the thousands digit of 49039014? Gives: 9 Item: What is the ten thousands digit of 138666693? Gives: 6 Item: What is the units digit of 59250? Gives: 0 Item: What is the tens digit of 116341370? Gives: 7 Item: What is the hundred millions digit of 353558226? Gives: 3 Item: What is the hundreds digit of 55184506? Gives: 5 Item: What is the units digit of 1818756? Gives: 6 Item: What is the units digit of 30592? Gives: 2 Item: What is the hundreds digit of 977? Gives: 9 Item: What is the hundreds digit of 204428231? Gives: 2 Item: What is the hundred thousands digit of 623831? Gives: 6 Item: What is the ten millions digit of 18944583? Gives: 1 Item: What is the hundred thousands digit of 256984791? Gives: 9 Item: What is the ten millions digit of 85391764? Gives: 8 Item: What is the tens digit of 24872991? Gives: 9 Item: What is the millions digit of 28690567? Gives: 8 Item: What is the ten thousands digit of 5472132474? Gives: 3 Item: What is the units digit of 995824? Gives: 4 Item: What is the hundred thousands digit of 383514380? Gives: 5 Item: What is the tens digit of 49016? Gives: 1 Item: What is the hundred thousands digit of 125580? Gives: 1 Item: What is the ten thousands digit of 10195688? Gives: 9 Item: What is the ten thousands digit of 16740? Gives: 1 Item: What is the units digit of 19220? Gives: 0 Item: What is the ten thousands digit of 2959958? Gives: 5 Item: What is the hundreds digit of 29115? Gives: 1 Item: What is the hundred thousands digit of 69503191? Gives: 5 Item: What is the hundreds digit of 1552? Gives: 5 Item: What is the tens digit of 3666340? Gives: 4 Item: What is the units digit of 143157? Gives: 7 Item: What is the tens digit of 7167679896? Gives: 9 Item: What is the hundred millions digit of 1315842586? Gives: 3 Item: What is the ten millions digit of 126117929? Gives: 2 Item: What is the ten thousands digit of 55669? Gives: 5 Item: What is the hundred thousands digit of 46248
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numbers: is prime ----------------- Scenario: Is 192353177 a composite number? Gives: False Scenario: Is 104865574861 prime? Gives: True Scenario: Is 9115 a prime number? Gives: False Scenario: Is 26671 a composite number? Gives: True Scenario: Is 900107 composite? Gives: True Scenario: Is 232063409 prime? Gives: True Scenario: Is 5893619 a prime number? Gives: False Scenario: Is 2897 composite? Gives: False Scenario: Is 7377 prime? Gives: False Scenario: Is 6761 composite? Gives: False Scenario: Is 337261 composite? Gives: False Scenario: Is 145640777 composite? Gives: True Scenario: Is 147253 a prime number? Gives: True Scenario: Is 4327 a prime number? Gives: True Scenario: Is 17757135293 a composite number? Gives: True Scenario: Is 2617675009 composite? Gives: True Scenario: Is 731821 composite? Gives: False Scenario: Is 5471 prime? Gives: True Scenario: Is 58011953 composite? Gives: False Scenario: Is 6429931 composite? Gives: False Scenario: Is 6576931 prime? Gives: True Scenario: Is 8063 composite? Gives: True Scenario: Is 352691 prime? Gives: True Scenario: Is 11653319 a prime number? Gives: False Scenario: Is 98317 composite? Gives: False Scenario: Is 3799 a prime number? Gives: False Scenario: Is 820438253 a prime number? Gives: False Scenario: Is 6660910261 a composite number? Gives: False Scenario: Is 371904965 composite? Gives: True Scenario: Is 1998397 a composite number? Gives: False Scenario: Is 4301477903 a prime number? Gives: True Scenario: Is 106107872971 composite? Gives: False Scenario: Is 221971 prime? Gives: False Scenario: Is 1534458027 prime? Gives: False Scenario: Is 1363880842 a composite number? Gives: True Scenario: Is 27160547 a prime number? Gives: True Scenario: Is 133303 a composite number? Gives: False Scenario: Is 600233 composite? Gives: False Scenario: Is 132943 a composite number? Gives: True Scenario: Is 53279731 a composite number? Gives: True Scenario: Is 59113 prime? Gives: True Scenario: Is 495587 a composite number? Gives
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numbers: place value -------------------- Issue: What is the hundreds digit of 342279? Answer: 2 Issue: What is the tens digit of 2657? Answer: 5 Issue: What is the units digit of 6011? Answer: 1 Issue: What is the hundreds digit of 36063? Answer: 0 Issue: What is the hundreds digit of 15841467? Answer: 4 Issue: What is the hundreds digit of 17408683? Answer: 6 Issue: What is the tens digit of 617? Answer: 1 Issue: What is the hundreds digit of 31192? Answer: 1 Issue: What is the hundred millions digit of 512134057? Answer: 5 Issue: What is the hundreds digit of 38919432? Answer: 4 Issue: What is the thousands digit of 5615065? Answer: 5 Issue: What is the thousands digit of 53553614? Answer: 3 Issue: What is the thousands digit of 1540547? Answer: 0 Issue: What is the millions digit of 2515077? Answer: 2 Issue: What is the hundreds digit of 1182? Answer: 1 Issue: What is the thousands digit of 133879081? Answer: 9 Issue: What is the tens digit of 238877? Answer: 7 Issue: What is the tens digit of 66139? Answer: 3 Issue: What is the hundreds digit of 42122? Answer: 1 Issue: What is the hundreds digit of 2836169? Answer: 1 Issue: What is the ten millions digit of 7492879230? Answer: 9 Issue: What is the ten thousands digit of 166561600? Answer: 6 Issue: What is the units digit of 2962? Answer: 2 Issue: What is the hundreds digit of 90198? Answer: 1 Issue: What is the hundred thousands digit of 205165271? Answer: 1 Issue: What is the units digit of 1642484? Answer: 4 Issue: What is the hundreds digit of 1242? Answer: 2 Issue: What is the ten thousands digit of 1292677693? Answer: 7 Issue: What is the units digit of 121390? Answer: 0 Issue: What is the hundreds digit of 14266? Answer: 2 Issue: What is the ten millions digit of 356796871? Answer: 5 Issue: What is the millions digit of 1405820? Answer: 1 Issue: What is the hundreds digit of 573750? Answer: 7 Issue: What is the hundred thousands digit of 5910558371? Answer: 5 Issue: What is the units digit of 402415763? A
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probability: swr p sequence --------------------------- Subject: Three letters picked without replacement from {h: 2, r: 1, c: 1, e: 1, j: 4}. What is prob of sequence hjr? Math A: 1/63 Subject: Two letters picked without replacement from dddwwtstdgtwwdsw. What is prob of sequence ws? Math A: 1/24 Subject: Four letters picked without replacement from {u: 1, e: 2, s: 2, y: 1, h: 2, p: 4}. What is prob of sequence euph? Math A: 2/1485 Subject: What is prob of sequence sks when three letters picked without replacement from {w: 5, s: 13, k: 2}? Math A: 13/285 Subject: Four letters picked without replacement from njjjjjjjjuuuzjzjnz. Give prob of sequence unzu. Math A: 1/2040 Subject: Calculate prob of sequence zzqv when four letters picked without replacement from vvqmz. Math A: 0 Subject: Three letters picked without replacement from {q: 1, k: 1, l: 3, x: 3, o: 6, w: 3}. What is prob of sequence xqw? Math A: 3/1360 Subject: Two letters picked without replacement from dodotuoo. Give prob of sequence dt. Math A: 1/28 Subject: Four letters picked without replacement from bbbbbbbbtbbbtbbbbbb. Give prob of sequence bbtb. Math A: 5/57 Subject: Calculate prob of sequence ttuu when four letters picked without replacement from uuutuuutuuctucu. Math A: 3/182 Subject: Four letters picked without replacement from ddohh. What is prob of sequence ddho? Math A: 1/30 Subject: Calculate prob of sequence hhv when three letters picked without replacement from hvvcccccccccchc. Math A: 2/1365 Subject: Three letters picked without replacement from cviiivvcvlil. Give prob of sequence lii. Math A: 1/55 Subject: Four letters picked without replacement from {q: 3, r: 2, u: 7}. Give prob of sequence qquq. Math A: 7/1980 Subject: Calculate prob of sequence cic when three letters picked without replacement from iccxxcccccxxcxcccix. Math A: 110/2907 Subject: Two letters picked without replacement from {h: 1, o: 1, u: 1, t: 2, b: 1, c: 1}. What is prob of sequence tb? Math A: 1/21 Subject: Calculate
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numbers: gcd ------------ Ask: Calculate the highest common divisor of 4512 and 3243. Eval: 141 Ask: Calculate the highest common factor of 27 and 543. Eval: 3 Ask: What is the highest common factor of 175 and 25? Eval: 25 Ask: What is the highest common factor of 10420657 and 754? Eval: 377 Ask: What is the highest common divisor of 156 and 1980? Eval: 12 Ask: Calculate the greatest common factor of 60 and 52453070. Eval: 10 Ask: What is the highest common divisor of 2817 and 18? Eval: 9 Ask: Calculate the highest common factor of 211 and 275777. Eval: 211 Ask: What is the greatest common divisor of 15544 and 5198664? Eval: 536 Ask: Calculate the highest common factor of 51 and 22718052. Eval: 51 Ask: What is the greatest common divisor of 10 and 22? Eval: 2 Ask: What is the greatest common factor of 146 and 3470858? Eval: 146 Ask: Calculate the highest common factor of 75 and 10425. Eval: 75 Ask: Calculate the greatest common factor of 155729140 and 35. Eval: 35 Ask: Calculate the highest common divisor of 7344 and 34786692. Eval: 1836 Ask: What is the greatest common factor of 947002 and 1012? Eval: 46 Ask: What is the highest common factor of 5684 and 1764? Eval: 196 Ask: Calculate the greatest common divisor of 2292 and 192. Eval: 12 Ask: What is the highest common factor of 10158 and 87272457? Eval: 5079 Ask: Calculate the greatest common factor of 2527291 and 2379. Eval: 793 Ask: What is the highest common divisor of 330 and 77858? Eval: 22 Ask: What is the greatest common divisor of 1908 and 658737? Eval: 477 Ask: What is the greatest common divisor of 3628400 and 12925? Eval: 1175 Ask: What is the greatest common factor of 7 and 126238? Eval: 7 Ask: What is the greatest common divisor of 10068 and 4? Eval: 4 Ask: What is the highest common factor of 84 and 112? Eval: 28 Ask: Calculate the greatest common factor of 7426 and 46136. Eval: 158 Ask: What is the highest common divisor of 13266903 and 1722? Eval: 123 Ask: What is the greatest common divisor of 517
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measurement: time ----------------- Qn: What is 35 minutes before 9:18 PM? Solution: 8:43 PM Qn: What is 166 minutes after 7:11 AM? Solution: 9:57 AM Qn: What is 353 minutes before 1:45 PM? Solution: 7:52 AM Qn: What is 388 minutes before 12:10 AM? Solution: 5:42 PM Qn: What is 9 minutes before 12:01 AM? Solution: 11:52 PM Qn: What is 439 minutes before 3:36 AM? Solution: 8:17 PM Qn: What is 496 minutes after 4:22 PM? Solution: 12:38 AM Qn: What is 303 minutes after 9:41 AM? Solution: 2:44 PM Qn: What is 353 minutes before 8:40 AM? Solution: 2:47 AM Qn: What is 142 minutes after 8:52 AM? Solution: 11:14 AM Qn: How many minutes are there between 7:13 AM and 10:50 AM? Solution: 217 Qn: How many minutes are there between 3:06 AM and 5:46 AM? Solution: 160 Qn: How many minutes are there between 7:55 PM and 1:15 AM? Solution: 320 Qn: What is 706 minutes before 9:17 AM? Solution: 9:31 PM Qn: What is 400 minutes before 8:56 PM? Solution: 2:16 PM Qn: How many minutes are there between 1:59 PM and 12:08 AM? Solution: 609 Qn: How many minutes are there between 8:56 AM and 8:44 PM? Solution: 708 Qn: How many minutes are there between 8:12 AM and 6:40 PM? Solution: 628 Qn: How many minutes are there between 2:57 PM and 7:09 PM? Solution: 252 Qn: How many minutes are there between 8:20 PM and 11:35 PM? Solution: 195 Qn: What is 104 minutes before 7:25 AM? Solution: 5:41 AM Qn: What is 599 minutes before 6:39 AM? Solution: 8:40 PM Qn: What is 572 minutes after 5:17 PM? Solution: 2:49 AM Qn: What is 145 minutes after 4:40 PM? Solution: 7:05 PM Qn: What is 578 minutes after 11:37 PM? Solution: 9:15 AM Qn: How many minutes are there between 10:14 PM and 12:30 AM? Solution: 136 Qn: What is 552 minutes before 4:23 AM? Solution: 7:11 PM Qn: How many minutes are there between 5:20 PM and 11:15 PM? Solution: 355 Qn: What is 697 minutes before 2:36 PM? Solution: 2:59 AM Qn: How many minutes are there between 5:57 PM and 10:46 PM? Solution: 289 Qn: What is 172 minutes before 12:29 PM? Solu
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arithmetic: nearest integer root -------------------------------- Test item: What is 799 to the power of 1/2, to the nearest integer? Steps: 28 Test item: What is 3331120 to the power of 1/7, to the nearest integer? Steps: 9 Test item: What is the square root of 1041 to the nearest integer? Steps: 32 Test item: What is 23676691 to the power of 1/8, to the nearest integer? Steps: 8 Test item: What is 254307 to the power of 1/8, to the nearest integer? Steps: 5 Test item: What is 66453 to the power of 1/5, to the nearest integer? Steps: 9 Test item: What is 3507 to the power of 1/6, to the nearest integer? Steps: 4 Test item: What is the square root of 492379 to the nearest integer? Steps: 702 Test item: What is the ninth root of 17927934 to the nearest integer? Steps: 6 Test item: What is the square root of 448019 to the nearest integer? Steps: 669 Test item: What is 52869 to the power of 1/4, to the nearest integer? Steps: 15 Test item: What is the square root of 5309139 to the nearest integer? Steps: 2304 Test item: What is 12348907 to the power of 1/2, to the nearest integer? Steps: 3514 Test item: What is the fourth root of 1689 to the nearest integer? Steps: 6 Test item: What is the square root of 2259461552 to the nearest integer? Steps: 47534 Test item: What is the square root of 5738 to the nearest integer? Steps: 76 Test item: What is the square root of 42615106 to the nearest integer? Steps: 6528 Test item: What is 8098584 to the power of 1/5, to the nearest integer? Steps: 24 Test item: What is the fifth root of 5782353 to the nearest integer? Steps: 23 Test item: What is the ninth root of 6874 to the nearest integer? Steps: 3 Test item: What is the square root of 3606 to the nearest integer? Steps: 60 Test item: What is the fifth root of 51269 to the nearest integer? Steps: 9 Test item: What is 4103061 to the power of 1/2, to the nearest integer? Steps: 2026 Test item: What is 163138 to the power of 1/2, to the nearest integer? Steps: 404 Test item: What
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measurement: time ----------------- Let us solve: What is 700 minutes before 9:15 PM? Answer: 9:35 AM Let us solve: What is 401 minutes after 3:11 PM? Answer: 9:52 PM Let us solve: How many minutes are there between 11:59 PM and 6:59 AM? Answer: 420 Let us solve: How many minutes are there between 10:24 AM and 11:05 AM? Answer: 41 Let us solve: How many minutes are there between 11:49 AM and 2:11 PM? Answer: 142 Let us solve: How many minutes are there between 10:30 AM and 8:29 PM? Answer: 599 Let us solve: How many minutes are there between 6:29 AM and 11:33 AM? Answer: 304 Let us solve: How many minutes are there between 7:59 AM and 12:42 PM? Answer: 283 Let us solve: What is 155 minutes after 8:20 PM? Answer: 10:55 PM Let us solve: How many minutes are there between 7:46 AM and 1:04 PM? Answer: 318 Let us solve: What is 165 minutes after 2:25 PM? Answer: 5:10 PM Let us solve: How many minutes are there between 3:30 AM and 5:54 AM? Answer: 144 Let us solve: How many minutes are there between 6:12 PM and 2:12 AM? Answer: 480 Let us solve: How many minutes are there between 10:11 PM and 1:38 AM? Answer: 207 Let us solve: How many minutes are there between 9:23 PM and 9:37 PM? Answer: 14 Let us solve: What is 315 minutes after 8:06 AM? Answer: 1:21 PM Let us solve: What is 59 minutes after 4:17 AM? Answer: 5:16 AM Let us solve: What is 588 minutes after 3:02 PM? Answer: 12:50 AM Let us solve: What is 40 minutes after 12:55 PM? Answer: 1:35 PM Let us solve: What is 636 minutes after 10:01 AM? Answer: 8:37 PM Let us solve: What is 71 minutes after 2:17 PM? Answer: 3:28 PM Let us solve: What is 386 minutes before 11:43 AM? Answer: 5:17 AM Let us solve: How many minutes are there between 12:22 AM and 9:40 AM? Answer: 558 Let us solve: What is 459 minutes after 1:50 PM? Answer: 9:29 PM Let us solve: How many minutes are there between 1:03 AM and 1:02 PM? Answer: 719 Let us solve: How many minutes are there between 1:57 PM and 4:03 PM? Answer: 126 Let us solve: What is 250
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measurement: time ----------------- Scenario: What is 401 minutes after 3:37 PM? Yields: 10:18 PM Scenario: How many minutes are there between 1:45 AM and 4:56 AM? Yields: 191 Scenario: What is 679 minutes after 2:02 PM? Yields: 1:21 AM Scenario: What is 20 minutes after 6:39 PM? Yields: 6:59 PM Scenario: What is 270 minutes after 11:59 AM? Yields: 4:29 PM Scenario: How many minutes are there between 7:40 AM and 7:08 PM? Yields: 688 Scenario: How many minutes are there between 12:22 AM and 1:04 AM? Yields: 42 Scenario: What is 418 minutes before 8:29 PM? Yields: 1:31 PM Scenario: What is 552 minutes after 7:43 PM? Yields: 4:55 AM Scenario: What is 71 minutes after 12:09 AM? Yields: 1:20 AM Scenario: How many minutes are there between 7:58 PM and 7:00 AM? Yields: 662 Scenario: What is 244 minutes before 7:56 PM? Yields: 3:52 PM Scenario: What is 318 minutes before 11:47 PM? Yields: 6:29 PM Scenario: How many minutes are there between 2:53 PM and 2:30 AM? Yields: 697 Scenario: What is 692 minutes before 11:40 AM? Yields: 12:08 AM Scenario: How many minutes are there between 5:11 PM and 1:48 AM? Yields: 517 Scenario: How many minutes are there between 7:06 AM and 9:38 AM? Yields: 152 Scenario: How many minutes are there between 12:55 AM and 3:17 AM? Yields: 142 Scenario: How many minutes are there between 8:22 PM and 7:14 AM? Yields: 652 Scenario: How many minutes are there between 12:42 PM and 1:17 PM? Yields: 35 Scenario: What is 197 minutes before 4:57 AM? Yields: 1:40 AM Scenario: How many minutes are there between 12:41 PM and 3:28 PM? Yields: 167 Scenario: What is 155 minutes after 7:16 PM? Yields: 9:51 PM Scenario: What is 223 minutes after 8:41 AM? Yields: 12:24 PM Scenario: What is 480 minutes before 12:50 AM? Yields: 4:50 PM Scenario: What is 493 minutes after 7:44 AM? Yields: 3:57 PM Scenario: How many minutes are there between 6:33 AM and 1:43 PM? Yields: 430 Scenario: What is 90 minutes after 6:36 AM? Yields: 8:06 AM Scenario: What is 685 minutes after 7:5
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measurement: time ----------------- Query: What is 443 minutes after 8:57 PM? Finding: 4:20 AM Query: How many minutes are there between 9:05 AM and 10:27 AM? Finding: 82 Query: What is 472 minutes before 5:06 AM? Finding: 9:14 PM Query: What is 605 minutes after 1:16 PM? Finding: 11:21 PM Query: How many minutes are there between 4:53 PM and 7:21 PM? Finding: 148 Query: How many minutes are there between 7:44 AM and 5:39 PM? Finding: 595 Query: What is 71 minutes before 4:02 AM? Finding: 2:51 AM Query: How many minutes are there between 4:54 PM and 4:58 PM? Finding: 4 Query: How many minutes are there between 7:07 AM and 5:35 PM? Finding: 628 Query: What is 310 minutes after 8:48 AM? Finding: 1:58 PM Query: How many minutes are there between 6:06 AM and 7:35 AM? Finding: 89 Query: What is 524 minutes before 3:49 AM? Finding: 7:05 PM Query: What is 388 minutes before 11:10 PM? Finding: 4:42 PM Query: How many minutes are there between 11:18 PM and 7:26 AM? Finding: 488 Query: How many minutes are there between 11:13 AM and 1:32 PM? Finding: 139 Query: What is 634 minutes after 3:21 AM? Finding: 1:55 PM Query: What is 354 minutes before 6:50 PM? Finding: 12:56 PM Query: What is 406 minutes before 8:46 PM? Finding: 2:00 PM Query: What is 132 minutes before 12:17 AM? Finding: 10:05 PM Query: How many minutes are there between 8:10 AM and 3:36 PM? Finding: 446 Query: How many minutes are there between 9:57 PM and 6:08 AM? Finding: 491 Query: How many minutes are there between 11:52 PM and 6:08 AM? Finding: 376 Query: What is 675 minutes before 8:43 PM? Finding: 9:28 AM Query: How many minutes are there between 9:21 AM and 3:46 PM? Finding: 385 Query: What is 493 minutes after 8:27 AM? Finding: 4:40 PM Query: How many minutes are there between 12:39 AM and 2:10 AM? Finding: 91 Query: What is 279 minutes after 11:18 AM? Finding: 3:57 PM Query: How many minutes are there between 11:45 AM and 2:13 PM? Finding: 148 Query: How many minutes are there between 12:10 AM and 7:44
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numbers: is factor ------------------ Question: Does 21 divide 154557585? Answer: True Question: Does 82 divide 59778? Answer: True Question: Is 112621 a multiple of 186? Answer: False Question: Is 159 a factor of 776566? Answer: False Question: Is 3 a factor of 242? Answer: False Question: Does 3782 divide 1326146954? Answer: True Question: Is 77 a factor of 111034? Answer: True Question: Is 43 a factor of 2666? Answer: True Question: Is 32 a factor of 18647400? Answer: False Question: Is 125195 a multiple of 49? Answer: True Question: Does 4 divide 92319? Answer: False Question: Is 477 a multiple of 4? Answer: False Question: Is 13333 a multiple of 49? Answer: False Question: Does 79 divide 280? Answer: False Question: Does 44 divide 10780? Answer: True Question: Is 1131069 a multiple of 181? Answer: True Question: Is 11 a factor of 192533? Answer: True Question: Does 38 divide 2731660968? Answer: False Question: Is 18444899 a multiple of 10? Answer: False Question: Is 668520 a multiple of 40? Answer: True Question: Does 44 divide 12207624? Answer: True Question: Is 286296 a multiple of 316? Answer: True Question: Does 46 divide 1099990? Answer: False Question: Is 20463 a multiple of 255? Answer: False Question: Is 3193735587 a multiple of 10983? Answer: True Question: Is 34872 a multiple of 12? Answer: True Question: Does 2 divide 700? Answer: True Question: Is 231682 a multiple of 5? Answer: False Question: Is 32593047 a multiple of 3? Answer: True Question: Does 7 divide 589? Answer: False Question: Does 1025 divide 221778534? Answer: False Question: Is 1040146 a multiple of 707? Answer: False Question: Does 75 divide 161341? Answer: False Question: Is 254 a factor of 1094232? Answer: True Question: Is 7485780 a multiple of 537? Answer: True Question: Does 114 divide 1710? Answer: True Question: Does 17 divide 748? Answer: True Question: Does 31 divide 1730? Answer: False Question: Is 352 a factor of 297489984? Answer: True Question: Is 126393530 a multiple of
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probability: swr p sequence --------------------------- Problem #: Calculate prob of sequence qk when two letters picked without replacement from qkqqqqqkkkqqqq. Clarification: 20/91 Problem #: Three letters picked without replacement from {n: 1, r: 9, y: 2, k: 4, f: 3}. What is prob of sequence fkr? Clarification: 6/323 Problem #: Four letters picked without replacement from ddymvbyxmmdmydvmydyb. Give prob of sequence vmxy. Clarification: 5/11628 Problem #: Four letters picked without replacement from zmuuzuz. Give prob of sequence zzuz. Clarification: 3/140 Problem #: Three letters picked without replacement from pzzzpppzpzpzz. Give prob of sequence zpp. Clarification: 35/286 Problem #: Four letters picked without replacement from {k: 1, s: 1, w: 2, x: 3}. Give prob of sequence wwkx. Clarification: 1/140 Problem #: Three letters picked without replacement from qqoqqoqoqqooqoqooqoq. What is prob of sequence qqq? Clarification: 11/76 Problem #: What is prob of sequence nnn when three letters picked without replacement from {n: 3, a: 17}? Clarification: 1/1140 Problem #: Two letters picked without replacement from {z: 1, b: 2, m: 1, o: 2}. Give prob of sequence bb. Clarification: 1/15 Problem #: Two letters picked without replacement from {o: 4, h: 2}. What is prob of sequence hh? Clarification: 1/15 Problem #: Calculate prob of sequence irr when three letters picked without replacement from {f: 2, r: 8, c: 1, i: 1, t: 1, h: 3}. Clarification: 1/60 Problem #: Calculate prob of sequence qw when two letters picked without replacement from wvpyq. Clarification: 1/20 Problem #: Three letters picked without replacement from {x: 3, t: 1, m: 4}. Give prob of sequence txm. Clarification: 1/28 Problem #: What is prob of sequence xjxj when four letters picked without replacement from {j: 3, l: 1, z: 1, m: 5, x: 4}? Clarification: 3/1001 Problem #: Two letters picked without replacement from {s: 4, q: 2}. What is prob of sequence ss? Clarification: 2/5 Problem #: What is prob o
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measurement: time ----------------- Problem: How many minutes are there between 10:30 PM and 1:20 AM? Result: 170 Problem: How many minutes are there between 11:57 AM and 8:55 PM? Result: 538 Problem: What is 587 minutes before 7:40 AM? Result: 9:53 PM Problem: What is 662 minutes after 5:16 PM? Result: 4:18 AM Problem: What is 62 minutes after 12:46 AM? Result: 1:48 AM Problem: How many minutes are there between 6:48 AM and 2:56 PM? Result: 488 Problem: What is 82 minutes after 2:41 AM? Result: 4:03 AM Problem: How many minutes are there between 9:56 AM and 6:54 PM? Result: 538 Problem: What is 703 minutes after 6:28 AM? Result: 6:11 PM Problem: How many minutes are there between 7:14 PM and 3:41 AM? Result: 507 Problem: How many minutes are there between 12:55 AM and 11:07 AM? Result: 612 Problem: How many minutes are there between 7:43 PM and 5:40 AM? Result: 597 Problem: What is 591 minutes after 4:22 PM? Result: 2:13 AM Problem: What is 446 minutes before 1:08 AM? Result: 5:42 PM Problem: How many minutes are there between 11:18 AM and 7:26 PM? Result: 488 Problem: How many minutes are there between 10:19 AM and 1:25 PM? Result: 186 Problem: How many minutes are there between 4:57 AM and 3:49 PM? Result: 652 Problem: How many minutes are there between 4:24 PM and 5:00 PM? Result: 36 Problem: How many minutes are there between 1:31 PM and 6:54 PM? Result: 323 Problem: What is 295 minutes after 10:14 AM? Result: 3:09 PM Problem: What is 255 minutes before 11:00 PM? Result: 6:45 PM Problem: What is 136 minutes after 3:30 PM? Result: 5:46 PM Problem: How many minutes are there between 3:31 PM and 11:14 PM? Result: 463 Problem: What is 617 minutes after 4:55 PM? Result: 3:12 AM Problem: What is 277 minutes before 10:43 AM? Result: 6:06 AM Problem: What is 496 minutes before 6:38 AM? Result: 10:22 PM Problem: How many minutes are there between 12:46 AM and 4:10 AM? Result: 204 Problem: How many minutes are there between 6:39 PM and 8:01 PM? Result: 82 Problem: How ma
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probability: swr p sequence --------------------------- Subject: Two letters picked without replacement from atataltratl. Give prob of sequence al. Interpretation: 4/55 Subject: Two letters picked without replacement from {s: 3, k: 1, e: 2, p: 1}. Give prob of sequence sk. Interpretation: 1/14 Subject: Two letters picked without replacement from eexeex. What is prob of sequence xx? Interpretation: 1/15 Subject: Calculate prob of sequence kq when two letters picked without replacement from kududqd. Interpretation: 1/42 Subject: What is prob of sequence hhk when three letters picked without replacement from {k: 15, h: 5}? Interpretation: 5/114 Subject: Two letters picked without replacement from {l: 2, k: 6}. What is prob of sequence lk? Interpretation: 3/14 Subject: Three letters picked without replacement from qjmmmbmljlmqpjl. Give prob of sequence mbq. Interpretation: 1/273 Subject: Calculate prob of sequence wb when two letters picked without replacement from bwblbwlbllbbl. Interpretation: 1/13 Subject: Calculate prob of sequence amv when three letters picked without replacement from {x: 4, m: 6, a: 2, v: 4, o: 1, u: 1}. Interpretation: 1/102 Subject: Two letters picked without replacement from {n: 1, u: 1, w: 1, t: 1, b: 1}. Give prob of sequence nb. Interpretation: 1/20 Subject: What is prob of sequence moo when three letters picked without replacement from nnonoooomnmomo? Interpretation: 3/52 Subject: Four letters picked without replacement from xxhxlmxhmxxlxxmggmo. What is prob of sequence ghxm? Interpretation: 4/2907 Subject: Calculate prob of sequence mkfj when four letters picked without replacement from {j: 1, k: 1, f: 1, m: 2, e: 1, w: 1}. Interpretation: 1/420 Subject: What is prob of sequence fvjr when four letters picked without replacement from vrjvvrvvvvjvfjfv? Interpretation: 9/3640 Subject: Two letters picked without replacement from {m: 5, k: 9}. Give prob of sequence mk. Interpretation: 45/182 Subject: Calculate prob of sequence wg when two lette
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probability: swr p sequence --------------------------- Exercise: What is prob of sequence kkb when three letters picked without replacement from {k: 4, g: 1, b: 11, w: 1}? Eval: 11/340 Exercise: Calculate prob of sequence mt when two letters picked without replacement from {t: 1, m: 2}. Eval: 1/3 Exercise: Two letters picked without replacement from ppjjjjpqjpjjpp. Give prob of sequence jq. Eval: 1/26 Exercise: Calculate prob of sequence hrh when three letters picked without replacement from {h: 12, r: 1}. Eval: 1/13 Exercise: What is prob of sequence qlq when three letters picked without replacement from {l: 2, q: 3}? Eval: 1/5 Exercise: Three letters picked without replacement from rrvvvcr. What is prob of sequence vrr? Eval: 3/35 Exercise: What is prob of sequence ss when two letters picked without replacement from {n: 2, k: 4, a: 1, s: 2, y: 3}? Eval: 1/66 Exercise: Calculate prob of sequence up when two letters picked without replacement from khkhuyhhph. Eval: 1/90 Exercise: Calculate prob of sequence lu when two letters picked without replacement from ccpppepcbelcpuu. Eval: 1/105 Exercise: Two letters picked without replacement from {v: 8, r: 3, n: 3, m: 3, d: 1}. What is prob of sequence nv? Eval: 4/51 Exercise: Calculate prob of sequence llcl when four letters picked without replacement from llclllclcccl. Eval: 35/396 Exercise: Two letters picked without replacement from aacraaraaarrrc. What is prob of sequence cr? Eval: 5/91 Exercise: Two letters picked without replacement from ixjqbaij. Give prob of sequence jb. Eval: 1/28 Exercise: What is prob of sequence qq when two letters picked without replacement from {q: 2, z: 4}? Eval: 1/15 Exercise: Four letters picked without replacement from ohigaixx. Give prob of sequence aoxi. Eval: 1/420 Exercise: What is prob of sequence qec when three letters picked without replacement from {p: 4, q: 1, f: 1, c: 8, e: 1}? Eval: 4/1365 Exercise: Four letters picked without replacement from {b: 6, h: 3, e: 3, v: 7}. What is
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arithmetic: nearest integer root -------------------------------- Problem #: What is 343 to the power of 1/9, to the nearest integer? Eval: 2 Problem #: What is 1488 to the power of 1/5, to the nearest integer? Eval: 4 Problem #: What is 8475 to the power of 1/3, to the nearest integer? Eval: 20 Problem #: What is 410629 to the power of 1/10, to the nearest integer? Eval: 4 Problem #: What is the fourth root of 1703941 to the nearest integer? Eval: 36 Problem #: What is 44755 to the power of 1/6, to the nearest integer? Eval: 6 Problem #: What is 295017262 to the power of 1/6, to the nearest integer? Eval: 26 Problem #: What is the cube root of 15563825 to the nearest integer? Eval: 250 Problem #: What is the sixth root of 976 to the nearest integer? Eval: 3 Problem #: What is the cube root of 52550 to the nearest integer? Eval: 37 Problem #: What is 39324888 to the power of 1/9, to the nearest integer? Eval: 7 Problem #: What is the square root of 524 to the nearest integer? Eval: 23 Problem #: What is the third root of 1180 to the nearest integer? Eval: 11 Problem #: What is the square root of 408080 to the nearest integer? Eval: 639 Problem #: What is the fifth root of 11657 to the nearest integer? Eval: 7 Problem #: What is the square root of 746863 to the nearest integer? Eval: 864 Problem #: What is 647175340 to the power of 1/9, to the nearest integer? Eval: 10 Problem #: What is the third root of 423235591 to the nearest integer? Eval: 751 Problem #: What is the third root of 252442 to the nearest integer? Eval: 63 Problem #: What is 1119 to the power of 1/2, to the nearest integer? Eval: 33 Problem #: What is the cube root of 4333 to the nearest integer? Eval: 16 Problem #: What is the square root of 2584546 to the nearest integer? Eval: 1608 Problem #: What is the square root of 35602 to the nearest integer? Eval: 189 Problem #: What is 438651 to the power of 1/9, to the nearest integer? Eval: 4 Problem #: What is 656866798 to the power of 1/3, to the near
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numbers: is factor ------------------ Math Problem: Is 51974 a multiple of 163? Result: False Math Problem: Is 20 a factor of 494024737? Result: False Math Problem: Is 10 a factor of 99? Result: False Math Problem: Is 50 a factor of 2600? Result: True Math Problem: Is 9704628 a multiple of 41? Result: False Math Problem: Is 29896 a multiple of 202? Result: True Math Problem: Is 4227804 a multiple of 57? Result: True Math Problem: Is 11 a factor of 56661? Result: True Math Problem: Does 48 divide 1138? Result: False Math Problem: Is 150000 a multiple of 40? Result: True Math Problem: Is 131416 a multiple of 37? Result: False Math Problem: Is 136 a factor of 34816? Result: True Math Problem: Is 1150544 a multiple of 137? Result: False Math Problem: Is 1113 a factor of 4623708? Result: False Math Problem: Does 34 divide 606? Result: False Math Problem: Does 7 divide 9450? Result: True Math Problem: Is 1158 a factor of 4252176? Result: True Math Problem: Is 35 a factor of 107216657? Result: False Math Problem: Does 424 divide 817100? Result: False Math Problem: Does 108 divide 1139616? Result: True Math Problem: Is 1035963 a multiple of 459? Result: True Math Problem: Does 18 divide 665694? Result: True Math Problem: Is 3108 a multiple of 12? Result: True Math Problem: Is 177 a factor of 51041844? Result: True Math Problem: Is 475 a factor of 36211150? Result: True Math Problem: Does 7 divide 1667? Result: False Math Problem: Is 3245363 a multiple of 63? Result: False Math Problem: Is 2 a factor of 2711923? Result: False Math Problem: Is 40 a factor of 520? Result: True Math Problem: Is 158 a factor of 36559? Result: False Math Problem: Does 4 divide 234021648? Result: True Math Problem: Is 115374214 a multiple of 7622? Result: True Math Problem: Does 180 divide 54438? Result: False Math Problem: Is 534261009 a multiple of 76? Result: False Math Problem: Is 68397 a multiple of 7? Result: True Math Problem: Does 40 divide 9600? Result: True Math Problem: Is 2665200 a mul
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measurement: conversion ----------------------- Conundrum: Convert 0.5444083 centimeters to kilometers. Soln: 0.000005444083 Conundrum: How many seconds are there in twenty-two ninths of a hour? Soln: 8800 Conundrum: How many centimeters are there in seven quarters of a meter? Soln: 175 Conundrum: How many centuries are there in 1664.57 decades? Soln: 166.457 Conundrum: What is eleven eighths of a gram in milligrams? Soln: 1375 Conundrum: How many millilitres are there in 1/4 of a litre? Soln: 250 Conundrum: What is 0.8958259 millilitres in litres? Soln: 0.0008958259 Conundrum: How many meters are there in seven eighths of a kilometer? Soln: 875 Conundrum: How many meters are there in 514587.2um? Soln: 0.5145872 Conundrum: How many millilitres are there in 1/5 of a litre? Soln: 200 Conundrum: What is 19.396026 minutes in days? Soln: 0.0134694625 Conundrum: What is 627.8403 years in centuries? Soln: 6.278403 Conundrum: How many millilitres are there in three fifths of a litre? Soln: 600 Conundrum: Convert 8.535225 micrometers to meters. Soln: 0.000008535225 Conundrum: What is 1/6 of a hour in seconds? Soln: 600 Conundrum: Convert 97.26535ml to litres. Soln: 0.09726535 Conundrum: What is one fifth of a micrometer in nanometers? Soln: 200 Conundrum: What is 773231.6um in millimeters? Soln: 773.2316 Conundrum: How many minutes are there in fourty-nine quarters of a day? Soln: 17640 Conundrum: What is 77383.13ns in seconds? Soln: 0.00007738313 Conundrum: What is nine tenths of a millennium in decades? Soln: 90 Conundrum: Convert 1746.297 days to seconds. Soln: 150880060.8 Conundrum: How many months are there in one quarter of a millennium? Soln: 3000 Conundrum: What is 1/10 of a microsecond in nanoseconds? Soln: 100 Conundrum: How many grams are there in thirty-four fifths of a kilogram? Soln: 6800 Conundrum: How many months are there in 17/4 of a decade? Soln: 510 Conundrum: How many months are there in six fifths of a century? Soln: 1440 Conundrum: How many millisecond
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numbers: is prime ----------------- Exercise: Is 7019 composite? Ans: False Exercise: Is 95392133 a prime number? Ans: False Exercise: Is 77839 composite? Ans: False Exercise: Is 822676289 prime? Ans: True Exercise: Is 762401 prime? Ans: True Exercise: Is 3076354607 prime? Ans: True Exercise: Is 7167820717 prime? Ans: False Exercise: Is 44483 a prime number? Ans: True Exercise: Is 324847 a prime number? Ans: True Exercise: Is 2236250933 a prime number? Ans: False Exercise: Is 775919 composite? Ans: False Exercise: Is 680020289 composite? Ans: True Exercise: Is 19879 prime? Ans: False Exercise: Is 743059 prime? Ans: True Exercise: Is 131262657 prime? Ans: False Exercise: Is 10451710153 prime? Ans: True Exercise: Is 3250301 a prime number? Ans: True Exercise: Is 9311 a prime number? Ans: True Exercise: Is 6382 a composite number? Ans: True Exercise: Is 18214085 prime? Ans: False Exercise: Is 65633287 composite? Ans: False Exercise: Is 70621949 a composite number? Ans: True Exercise: Is 170932999277 composite? Ans: False Exercise: Is 171708541 a prime number? Ans: True Exercise: Is 1732242409 prime? Ans: False Exercise: Is 766609 composite? Ans: False Exercise: Is 88164337519 composite? Ans: True Exercise: Is 1330579 composite? Ans: True Exercise: Is 95905 prime? Ans: False Exercise: Is 33067 composite? Ans: True Exercise: Is 75233609 a composite number? Ans: True Exercise: Is 2416471631 a prime number? Ans: False Exercise: Is 9553 prime? Ans: False Exercise: Is 6261 composite? Ans: True Exercise: Is 151565621 prime? Ans: True Exercise: Is 6449 composite? Ans: False Exercise: Is 39971 a composite number? Ans: False Exercise: Is 10048979 a prime number? Ans: False Exercise: Is 196458259 a prime number? Ans: False Exercise: Is 5889907 a prime number? Ans: False Exercise: Is 799409869 prime? Ans: True Exercise: Is 3356209897 composite? Ans: True Exercise: Is 5748864883 composite? Ans: True Exercise: Is 6506243 prime? Ans: True Exercise: Is 29301 prime? Ans: False Exercise
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measurement: conversion ----------------------- Challenge: What is seven eighths of a kilometer in meters? Eval: 875 Challenge: What is 523842.1 centimeters in millimeters? Eval: 5238421 Challenge: What is 7.33659ng in micrograms? Eval: 0.00733659 Challenge: Convert 42.20823 years to months. Eval: 506.49876 Challenge: What is 0.1741793 micrograms in nanograms? Eval: 174.1793 Challenge: What is 314.7413 hours in minutes? Eval: 18884.478 Challenge: Convert 78.62273 millilitres to litres. Eval: 0.07862273 Challenge: What is 14.22828 nanograms in grams? Eval: 0.00000001422828 Challenge: How many seconds are there in eleven eighths of a hour? Eval: 4950 Challenge: What is 7829.895 nanograms in milligrams? Eval: 0.007829895 Challenge: How many milligrams are there in 4.629667 micrograms? Eval: 0.004629667 Challenge: What is 198.7493l in millilitres? Eval: 198749.3 Challenge: What is thirteen quarters of a meter in centimeters? Eval: 325 Challenge: What is 24957.48 days in seconds? Eval: 2156326272 Challenge: Convert 0.02668cm to kilometers. Eval: 0.0000002668 Challenge: How many grams are there in thirty-four fifths of a kilogram? Eval: 6800 Challenge: What is 34/5 of a litre in millilitres? Eval: 6800 Challenge: What is fifty-four fifths of a minute in seconds? Eval: 648 Challenge: How many milliseconds are there in 98.96011 days? Eval: 8550153504 Challenge: How many milliseconds are there in sixty-one halves of a second? Eval: 30500 Challenge: How many millilitres are there in 29/2 of a litre? Eval: 14500 Challenge: Convert 733716.3 kilograms to tonnes. Eval: 733.7163 Challenge: How many kilograms are there in 7/8 of a tonne? Eval: 875 Challenge: How many months are there in 27/5 of a century? Eval: 6480 Challenge: How many seconds are there in 0.5512836us? Eval: 0.0000005512836 Challenge: What is 48889499.4ns in weeks? Eval: 0.0000000808358125 Challenge: How many centuries are there in 9.57831 decades? Eval: 0.957831 Challenge: How many years are there in 696.231 centu
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arithmetic: nearest integer root -------------------------------- Ask: What is 2794853956 to the power of 1/2, to the nearest integer? →: 52866 Ask: What is 8284443 to the power of 1/4, to the nearest integer? →: 54 Ask: What is 25784516 to the power of 1/2, to the nearest integer? →: 5078 Ask: What is 93210548 to the power of 1/6, to the nearest integer? →: 21 Ask: What is the sixth root of 4844497322 to the nearest integer? →: 41 Ask: What is the tenth root of 2688 to the nearest integer? →: 2 Ask: What is 13913172 to the power of 1/7, to the nearest integer? →: 10 Ask: What is 1373894 to the power of 1/2, to the nearest integer? →: 1172 Ask: What is 7206 to the power of 1/9, to the nearest integer? →: 3 Ask: What is the cube root of 3786017930 to the nearest integer? →: 1559 Ask: What is the third root of 359 to the nearest integer? →: 7 Ask: What is the third root of 43777332 to the nearest integer? →: 352 Ask: What is the fifth root of 1358 to the nearest integer? →: 4 Ask: What is the cube root of 46358933 to the nearest integer? →: 359 Ask: What is the cube root of 992453 to the nearest integer? →: 100 Ask: What is 400 to the power of 1/3, to the nearest integer? →: 7 Ask: What is the square root of 4619338 to the nearest integer? →: 2149 Ask: What is the square root of 3309 to the nearest integer? →: 58 Ask: What is the square root of 136160 to the nearest integer? →: 369 Ask: What is the seventh root of 27559062 to the nearest integer? →: 12 Ask: What is the third root of 6745126 to the nearest integer? →: 189 Ask: What is 74318 to the power of 1/4, to the nearest integer? →: 17 Ask: What is 3790 to the power of 1/2, to the nearest integer? →: 62 Ask: What is 166149 to the power of 1/2, to the nearest integer? →: 408 Ask: What is the eighth root of 529289520 to the nearest integer? →: 12 Ask: What is the square root of 42401 to the nearest integer? →: 206 Ask: What is 164473 to the power of 1/2, to the nearest integer? →: 406 Ask: What is 345178690 to the p
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numbers: gcd ------------ What if: What is the greatest common factor of 245353 and 219? Hence: 73 What if: What is the highest common factor of 1189 and 41? Hence: 41 What if: What is the highest common divisor of 307234 and 1012? Hence: 46 What if: Calculate the highest common divisor of 169 and 39. Hence: 13 What if: Calculate the highest common factor of 231883 and 2012. Hence: 503 What if: Calculate the greatest common divisor of 135 and 45. Hence: 45 What if: What is the highest common factor of 6 and 498? Hence: 6 What if: What is the highest common divisor of 80570 and 19040? Hence: 70 What if: Calculate the highest common divisor of 3332 and 510. Hence: 34 What if: Calculate the highest common factor of 4188456 and 216. Hence: 216 What if: What is the greatest common divisor of 22 and 6809? Hence: 11 What if: What is the greatest common divisor of 1 and 13153817? Hence: 1 What if: Calculate the greatest common divisor of 64 and 73016992. Hence: 32 What if: What is the highest common factor of 118521 and 2439? Hence: 9 What if: What is the highest common divisor of 108 and 486? Hence: 54 What if: What is the highest common factor of 82460 and 1216? Hence: 76 What if: What is the highest common factor of 1752875 and 2775? Hence: 925 What if: What is the highest common divisor of 3 and 9147? Hence: 3 What if: Calculate the highest common divisor of 100529 and 92239927. Hence: 9139 What if: What is the highest common factor of 201255 and 60? Hence: 15 What if: What is the highest common divisor of 9 and 34407? Hence: 9 What if: What is the greatest common factor of 434 and 31? Hence: 31 What if: What is the highest common factor of 40 and 32? Hence: 8 What if: Calculate the highest common divisor of 20 and 1580. Hence: 20 What if: What is the greatest common divisor of 78 and 711178? Hence: 26 What if: Calculate the greatest common divisor of 1308 and 55263. Hence: 327 What if: What is the greatest common factor of 4995 and 173286? Hence: 27 What if: Calculate
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probability: swr p level set ---------------------------- Scenario: Two letters picked without replacement from wlmlcmap. Give prob of picking 2 l. Soln: 1/28 Scenario: What is prob of picking 1 h and 1 f when two letters picked without replacement from {n: 1, h: 2, f: 1, u: 1}? Soln: 1/5 Scenario: Calculate prob of picking 4 h when four letters picked without replacement from zahhazhahhzzz. Soln: 1/143 Scenario: Two letters picked without replacement from {i: 1, y: 1, s: 5, q: 2, k: 3}. Give prob of picking 1 i and 1 q. Soln: 1/33 Scenario: Three letters picked without replacement from {j: 11, o: 9}. Give prob of picking 3 o. Soln: 7/95 Scenario: Three letters picked without replacement from {e: 5, x: 4, h: 3}. Give prob of picking 1 e and 2 x. Soln: 3/22 Scenario: Two letters picked without replacement from {l: 1, f: 2, j: 4, c: 7, a: 1}. Give prob of picking 1 a and 1 l. Soln: 1/105 Scenario: Two letters picked without replacement from rtrm. Give prob of picking 2 r. Soln: 1/6 Scenario: What is prob of picking 3 o and 1 b when four letters picked without replacement from bbggooggggobg? Soln: 3/715 Scenario: What is prob of picking 2 y when two letters picked without replacement from {r: 2, y: 2, u: 1, a: 1, x: 3, l: 3}? Soln: 1/66 Scenario: Four letters picked without replacement from hchcccmcccxccccoccc. Give prob of picking 2 c, 1 o, and 1 m. Soln: 91/3876 Scenario: What is prob of picking 1 g and 1 x when two letters picked without replacement from {x: 2, z: 3, g: 3}? Soln: 3/14 Scenario: What is prob of picking 2 v when two letters picked without replacement from cvvvccvcvscvcsvcvs? Soln: 28/153 Scenario: Calculate prob of picking 1 j and 1 i when two letters picked without replacement from eiizejijefai. Soln: 4/33 Scenario: Calculate prob of picking 2 v when two letters picked without replacement from kvkkkvv. Soln: 1/7 Scenario: Three letters picked without replacement from fwkhfwhwkmfffmqhff. What is prob of picking 1 w, 1 f, and 1 m? Soln: 7/136 Scenario:
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numbers: place value -------------------- Example: What is the tens digit of 377232951? Fix: 5 Example: What is the tens digit of 2394126? Fix: 2 Example: What is the hundred thousands digit of 272517975? Fix: 5 Example: What is the tens digit of 5909977? Fix: 7 Example: What is the tens digit of 2127643? Fix: 4 Example: What is the tens digit of 6104? Fix: 0 Example: What is the hundreds digit of 30061572? Fix: 5 Example: What is the units digit of 1054? Fix: 4 Example: What is the tens digit of 11760? Fix: 6 Example: What is the tens digit of 192921? Fix: 2 Example: What is the hundreds digit of 4786713? Fix: 7 Example: What is the tens digit of 1438? Fix: 3 Example: What is the billions digit of 2750031597? Fix: 2 Example: What is the hundreds digit of 2154162? Fix: 1 Example: What is the thousands digit of 44046? Fix: 4 Example: What is the ten millions digit of 739497838? Fix: 3 Example: What is the millions digit of 24154749? Fix: 4 Example: What is the tens digit of 2338? Fix: 3 Example: What is the hundred thousands digit of 179055? Fix: 1 Example: What is the tens digit of 113478? Fix: 7 Example: What is the units digit of 5146? Fix: 6 Example: What is the millions digit of 29534397? Fix: 9 Example: What is the tens digit of 11586? Fix: 8 Example: What is the units digit of 1276? Fix: 6 Example: What is the units digit of 4977569? Fix: 9 Example: What is the tens digit of 4476030689? Fix: 8 Example: What is the tens digit of 25898? Fix: 9 Example: What is the hundreds digit of 3536? Fix: 5 Example: What is the millions digit of 1473332250? Fix: 3 Example: What is the units digit of 799074? Fix: 4 Example: What is the hundred thousands digit of 2293984? Fix: 2 Example: What is the thousands digit of 2474? Fix: 2 Example: What is the thousands digit of 486683? Fix: 6 Example: What is the ten millions digit of 1716699912? Fix: 1 Example: What is the ten thousands digit of 53995? Fix: 5 Example: What is the tens digit of 3474? Fix: 7 Example: What is the units
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probability: swr p sequence --------------------------- Prompt: What is prob of sequence efef when four letters picked without replacement from {e: 2, f: 7, p: 4}? Derivation: 7/1430 Prompt: What is prob of sequence nsx when three letters picked without replacement from {b: 1, x: 1, o: 1, a: 2, s: 1, n: 1}? Derivation: 1/210 Prompt: What is prob of sequence rk when two letters picked without replacement from {a: 4, v: 7, k: 2, l: 1, r: 1, t: 2}? Derivation: 1/136 Prompt: What is prob of sequence ox when two letters picked without replacement from {l: 2, o: 2, x: 4, z: 2, b: 2}? Derivation: 2/33 Prompt: Two letters picked without replacement from qjqjqssjzjjsq. What is prob of sequence jz? Derivation: 5/156 Prompt: Three letters picked without replacement from {i: 1, b: 2, l: 4, s: 3}. What is prob of sequence sbb? Derivation: 1/120 Prompt: What is prob of sequence pro when three letters picked without replacement from jrrjlopgo? Derivation: 1/126 Prompt: Two letters picked without replacement from {k: 2, z: 2}. What is prob of sequence zz? Derivation: 1/6 Prompt: Four letters picked without replacement from jyjyyjsmjyjjlls. Give prob of sequence jjmj. Derivation: 1/273 Prompt: Calculate prob of sequence jj when two letters picked without replacement from hjhupjupjhhhj. Derivation: 1/13 Prompt: What is prob of sequence hn when two letters picked without replacement from ziiniihhhclnznl? Derivation: 3/70 Prompt: Four letters picked without replacement from keleeezzlekllleeele. Give prob of sequence zkle. Derivation: 3/1292 Prompt: Four letters picked without replacement from wpwpwpww. Give prob of sequence pppw. Derivation: 1/56 Prompt: What is prob of sequence fm when two letters picked without replacement from {o: 2, m: 1, f: 2, u: 1}? Derivation: 1/15 Prompt: Three letters picked without replacement from tviziipmzzvvzvitmtii. What is prob of sequence tvv? Derivation: 1/190 Prompt: Four letters picked without replacement from {y: 3, p: 3}. Give prob of sequence yyyy
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arithmetic: nearest integer root -------------------------------- Statement: What is 5128328 to the power of 1/5, to the nearest integer? Compute: 22 Statement: What is the third root of 8255 to the nearest integer? Compute: 20 Statement: What is the square root of 107641 to the nearest integer? Compute: 328 Statement: What is the square root of 1800160648 to the nearest integer? Compute: 42428 Statement: What is the ninth root of 120124755 to the nearest integer? Compute: 8 Statement: What is 22644456 to the power of 1/7, to the nearest integer? Compute: 11 Statement: What is 722743448 to the power of 1/4, to the nearest integer? Compute: 164 Statement: What is 2230 to the power of 1/2, to the nearest integer? Compute: 47 Statement: What is the square root of 42893056 to the nearest integer? Compute: 6549 Statement: What is the cube root of 176411 to the nearest integer? Compute: 56 Statement: What is the tenth root of 2408418704 to the nearest integer? Compute: 9 Statement: What is the third root of 2293 to the nearest integer? Compute: 13 Statement: What is the cube root of 3957433209 to the nearest integer? Compute: 1582 Statement: What is 886059 to the power of 1/6, to the nearest integer? Compute: 10 Statement: What is the cube root of 1016404992 to the nearest integer? Compute: 1005 Statement: What is the square root of 258072 to the nearest integer? Compute: 508 Statement: What is the cube root of 2491199 to the nearest integer? Compute: 136 Statement: What is the square root of 7903222 to the nearest integer? Compute: 2811 Statement: What is 40107 to the power of 1/6, to the nearest integer? Compute: 6 Statement: What is 14533767 to the power of 1/2, to the nearest integer? Compute: 3812 Statement: What is the square root of 1589 to the nearest integer? Compute: 40 Statement: What is 58284 to the power of 1/2, to the nearest integer? Compute: 241 Statement: What is the third root of 423206 to the nearest integer? Compute: 75 Statement: What is the fourth ro
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arithmetic: nearest integer root -------------------------------- Q-: What is 2042320 to the power of 1/7, to the nearest integer? = : 8 Q-: What is the third root of 2763418408 to the nearest integer? = : 1403 Q-: What is the tenth root of 748 to the nearest integer? = : 2 Q-: What is the square root of 2767 to the nearest integer? = : 53 Q-: What is the fourth root of 32157426 to the nearest integer? = : 75 Q-: What is the fourth root of 92562 to the nearest integer? = : 17 Q-: What is 7163 to the power of 1/4, to the nearest integer? = : 9 Q-: What is 14454132 to the power of 1/2, to the nearest integer? = : 3802 Q-: What is 450505430 to the power of 1/7, to the nearest integer? = : 17 Q-: What is 1257782038 to the power of 1/4, to the nearest integer? = : 188 Q-: What is 3587335321 to the power of 1/2, to the nearest integer? = : 59894 Q-: What is the cube root of 387468584 to the nearest integer? = : 729 Q-: What is the sixth root of 224208 to the nearest integer? = : 8 Q-: What is the fourth root of 757397799 to the nearest integer? = : 166 Q-: What is 21920 to the power of 1/8, to the nearest integer? = : 3 Q-: What is the ninth root of 8183843 to the nearest integer? = : 6 Q-: What is the seventh root of 6343455 to the nearest integer? = : 9 Q-: What is the sixth root of 165011 to the nearest integer? = : 7 Q-: What is the tenth root of 7831 to the nearest integer? = : 2 Q-: What is the fourth root of 1996673600 to the nearest integer? = : 211 Q-: What is 3485012 to the power of 1/5, to the nearest integer? = : 20 Q-: What is the cube root of 438324 to the nearest integer? = : 76 Q-: What is the seventh root of 7908731 to the nearest integer? = : 10 Q-: What is 29281858 to the power of 1/2, to the nearest integer? = : 5411 Q-: What is 28332185 to the power of 1/7, to the nearest integer? = : 12 Q-: What is 4569 to the power of 1/5, to the nearest integer? = : 5 Q-: What is the cube root of 1560697 to the nearest integer? = : 116 Q-: What is the fifth root of
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numbers: place value -------------------- Q=: What is the hundreds digit of 1895569256? Therefore: 2 Q=: What is the ten thousands digit of 30664810? Therefore: 6 Q=: What is the hundreds digit of 28938572? Therefore: 5 Q=: What is the thousands digit of 501075085? Therefore: 5 Q=: What is the hundreds digit of 2645559? Therefore: 5 Q=: What is the thousands digit of 6431? Therefore: 6 Q=: What is the units digit of 35? Therefore: 5 Q=: What is the ten thousands digit of 108989? Therefore: 0 Q=: What is the hundreds digit of 237480? Therefore: 4 Q=: What is the ten thousands digit of 8019173? Therefore: 1 Q=: What is the hundreds digit of 554458144? Therefore: 1 Q=: What is the units digit of 1329? Therefore: 9 Q=: What is the millions digit of 5898100? Therefore: 5 Q=: What is the millions digit of 398631057? Therefore: 8 Q=: What is the ten thousands digit of 706615? Therefore: 0 Q=: What is the millions digit of 25392468? Therefore: 5 Q=: What is the ten millions digit of 23875668? Therefore: 2 Q=: What is the ten thousands digit of 75904? Therefore: 7 Q=: What is the thousands digit of 831827? Therefore: 1 Q=: What is the units digit of 22810? Therefore: 0 Q=: What is the hundred thousands digit of 276824? Therefore: 2 Q=: What is the hundreds digit of 93877685? Therefore: 6 Q=: What is the units digit of 312794466? Therefore: 6 Q=: What is the ten thousands digit of 12708? Therefore: 1 Q=: What is the units digit of 224401? Therefore: 1 Q=: What is the hundreds digit of 4353? Therefore: 3 Q=: What is the tens digit of 370997? Therefore: 9 Q=: What is the hundreds digit of 242364426? Therefore: 4 Q=: What is the hundreds digit of 6676201269? Therefore: 2 Q=: What is the thousands digit of 97500? Therefore: 7 Q=: What is the hundred millions digit of 849015047? Therefore: 8 Q=: What is the thousands digit of 35424? Therefore: 5 Q=: What is the ten thousands digit of 133408? Therefore: 3 Q=: What is the ten thousands digit of 12059243? Therefore: 5 Q=: What is the
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probability: swr p level set ---------------------------- Inquiry: Calculate prob of picking 2 j when two letters picked without replacement from njqjjnnjjjn. Yields: 3/11 Inquiry: Two letters picked without replacement from {p: 3, r: 12}. Give prob of picking 1 r and 1 p. Yields: 12/35 Inquiry: Four letters picked without replacement from bhhhhhhhhbhh. Give prob of picking 2 h and 2 b. Yields: 1/11 Inquiry: Two letters picked without replacement from {o: 5, e: 1, p: 3}. What is prob of picking 2 p? Yields: 1/12 Inquiry: Calculate prob of picking 2 v when two letters picked without replacement from {v: 5, t: 3, q: 1, d: 6}. Yields: 2/21 Inquiry: Three letters picked without replacement from eetettetettet. What is prob of picking 3 t? Yields: 35/286 Inquiry: Calculate prob of picking 1 m and 2 q when three letters picked without replacement from {x: 2, u: 1, w: 1, m: 1, q: 2}. Yields: 1/35 Inquiry: Three letters picked without replacement from {u: 1, h: 6, q: 2, l: 4}. Give prob of picking 1 h, 1 u, and 1 q. Yields: 6/143 Inquiry: Two letters picked without replacement from vkftkukkkkgttkvkuk. What is prob of picking 1 u and 1 t? Yields: 2/51 Inquiry: Three letters picked without replacement from {v: 7, a: 2, j: 11}. Give prob of picking 1 j and 2 a. Yields: 11/1140 Inquiry: Calculate prob of picking 3 q when three letters picked without replacement from {d: 2, q: 12, f: 5}. Yields: 220/969 Inquiry: Four letters picked without replacement from muuuuuuuxumfxumfo. Give prob of picking 1 x, 2 f, and 1 m. Yields: 3/1190 Inquiry: What is prob of picking 2 y and 1 m when three letters picked without replacement from hyymmymyyv? Yields: 1/4 Inquiry: Three letters picked without replacement from {a: 4, k: 5, j: 6, m: 1, d: 3, b: 1}. What is prob of picking 2 d and 1 j? Yields: 3/190 Inquiry: What is prob of picking 1 w and 3 v when four letters picked without replacement from vwwvvvw? Yields: 12/35 Inquiry: Three letters picked without replacement from {u: 4, j: 10, l: 2}. G
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probability: swr p sequence --------------------------- Given: What is prob of sequence vjrj when four letters picked without replacement from xjrdrdrrjprrrv? Answer: 1/1716 Given: What is prob of sequence ovwx when four letters picked without replacement from {v: 1, o: 1, x: 1, l: 4, r: 3, w: 2}? Answer: 1/5940 Given: Four letters picked without replacement from {w: 2, x: 4, f: 1}. Give prob of sequence wwxw. Answer: 0 Given: Two letters picked without replacement from {u: 4, n: 1, t: 1, r: 2}. Give prob of sequence rn. Answer: 1/28 Given: What is prob of sequence yxyn when four letters picked without replacement from yyhhhnunyhxxnhuhx? Answer: 9/9520 Given: Calculate prob of sequence uuu when three letters picked without replacement from {u: 7, x: 11, l: 1}. Answer: 35/969 Given: Calculate prob of sequence rttr when four letters picked without replacement from trtttrtttrtrrttrttt. Answer: 65/1292 Given: Calculate prob of sequence phqh when four letters picked without replacement from ahhwwhhaqhhwqhhhgpap. Answer: 4/1615 Given: Three letters picked without replacement from qmfqmqqmqmmqqqqqqqf. What is prob of sequence mfq? Answer: 20/969 Given: What is prob of sequence hh when two letters picked without replacement from {a: 1, h: 3}? Answer: 1/2 Given: Four letters picked without replacement from {f: 1, y: 4, u: 5}. What is prob of sequence yfuy? Answer: 1/84 Given: Three letters picked without replacement from {y: 4, x: 10, o: 2, e: 3}. Give prob of sequence yox. Answer: 40/2907 Given: Three letters picked without replacement from {b: 10}. Give prob of sequence bbb. Answer: 1 Given: What is prob of sequence aas when three letters picked without replacement from ashaa? Answer: 1/10 Given: Four letters picked without replacement from {q: 5, d: 3}. What is prob of sequence dqqq? Answer: 3/28 Given: Calculate prob of sequence mm when two letters picked without replacement from {s: 5, i: 2, m: 2, b: 4, d: 1}. Answer: 1/91 Given: Two letters picked without replacement f
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numbers: is prime ----------------- Problem: Is 217455390422 composite? Resolution: True Problem: Is 7220438 prime? Resolution: False Problem: Is 184263199 a prime number? Resolution: False Problem: Is 2503 prime? Resolution: True Problem: Is 1844277553 prime? Resolution: False Problem: Is 114937 prime? Resolution: False Problem: Is 3424379 prime? Resolution: False Problem: Is 3552347593 composite? Resolution: True Problem: Is 6109 a composite number? Resolution: True Problem: Is 1216373 prime? Resolution: True Problem: Is 456137 a composite number? Resolution: True Problem: Is 561347 a composite number? Resolution: False Problem: Is 10716305609 composite? Resolution: True Problem: Is 436997 prime? Resolution: False Problem: Is 348277389 composite? Resolution: True Problem: Is 3806509901 prime? Resolution: False Problem: Is 2721499 composite? Resolution: True Problem: Is 120727567 prime? Resolution: False Problem: Is 364804169 prime? Resolution: True Problem: Is 283018 composite? Resolution: True Problem: Is 1492211 a composite number? Resolution: True Problem: Is 4138503473 a prime number? Resolution: False Problem: Is 3137876387 a composite number? Resolution: True Problem: Is 76243 composite? Resolution: False Problem: Is 104863 a composite number? Resolution: True Problem: Is 5497 prime? Resolution: False Problem: Is 3103 prime? Resolution: False Problem: Is 613196359 a prime number? Resolution: False Problem: Is 17183255497 composite? Resolution: False Problem: Is 201319 composite? Resolution: True Problem: Is 1174557827 a composite number? Resolution: True Problem: Is 39829989403 composite? Resolution: False Problem: Is 1788253 a composite number? Resolution: False Problem: Is 308683 composite? Resolution: True Problem: Is 580116583 a prime number? Resolution: True Problem: Is 6754054249 prime? Resolution: True Problem: Is 611 composite? Resolution: True Problem: Is 41102107 prime? Resolution: False Problem: Is 256785667 a prime number? Resolution: True Proble
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probability: swr p level set ---------------------------- Example: Three letters picked without replacement from {l: 2, v: 3}. What is prob of picking 2 l and 1 v? Gives: 3/10 Example: What is prob of picking 1 q and 1 j when two letters picked without replacement from {o: 1, q: 1, u: 4, j: 6, t: 1}? Gives: 1/13 Example: Three letters picked without replacement from {l: 9}. What is prob of picking 3 l? Gives: 1 Example: Three letters picked without replacement from bbppbbp. What is prob of picking 3 b? Gives: 4/35 Example: Three letters picked without replacement from {o: 7, y: 6}. Give prob of picking 1 y and 2 o. Gives: 63/143 Example: What is prob of picking 2 a when two letters picked without replacement from {a: 3, c: 3, s: 2}? Gives: 3/28 Example: Calculate prob of picking 3 d and 1 g when four letters picked without replacement from {d: 9, g: 11}. Gives: 308/1615 Example: Four letters picked without replacement from pfhhpfhhhfhhhhhhh. What is prob of picking 2 h and 2 p? Gives: 33/1190 Example: Two letters picked without replacement from {t: 3, b: 1, q: 3, v: 5, p: 1, e: 5}. What is prob of picking 1 v and 1 p? Gives: 5/153 Example: Three letters picked without replacement from {l: 2, a: 1, o: 7, e: 1, j: 4, y: 4}. What is prob of picking 1 y and 2 j? Gives: 8/323 Example: Two letters picked without replacement from {s: 9, o: 3}. What is prob of picking 2 s? Gives: 6/11 Example: Two letters picked without replacement from iiqiqqvqqi. Give prob of picking 1 q and 1 i. Gives: 4/9 Example: What is prob of picking 2 z and 1 k when three letters picked without replacement from zzkbzbzkbzzzzzzbzbz? Gives: 44/323 Example: Four letters picked without replacement from yymmmcdlldvyd. Give prob of picking 3 y and 1 v. Gives: 1/715 Example: What is prob of picking 1 j and 1 u when two letters picked without replacement from {p: 1, j: 8, u: 8}? Gives: 8/17 Example: Three letters picked without replacement from pphpppppppppphpphp. Give prob of picking 1 h and 2 p. Gives: 1
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probability: swr p level set ---------------------------- Given: What is prob of picking 1 m and 2 f when three letters picked without replacement from {o: 4, m: 2, f: 3, l: 9}? Finding: 1/136 Given: What is prob of picking 2 r and 2 h when four letters picked without replacement from rrhhhhhhh? Finding: 1/6 Given: Three letters picked without replacement from hdvbs. What is prob of picking 1 h, 1 b, and 1 d? Finding: 1/10 Given: Three letters picked without replacement from {p: 1, h: 2, m: 2, t: 1, e: 1, u: 1}. What is prob of picking 1 h, 1 p, and 1 t? Finding: 1/28 Given: Four letters picked without replacement from oooaaoo. Give prob of picking 2 a and 2 o. Finding: 2/7 Given: Calculate prob of picking 2 t and 2 d when four letters picked without replacement from yyzztytydtyyddy. Finding: 3/455 Given: Four letters picked without replacement from mumzmrurumuzu. What is prob of picking 2 m, 1 r, and 1 z? Finding: 24/715 Given: Calculate prob of picking 2 h and 1 t when three letters picked without replacement from {c: 1, o: 1, n: 1, s: 1, t: 1, h: 2}. Finding: 1/35 Given: Four letters picked without replacement from xjpjjpxjxxxppxpxxj. Give prob of picking 1 p and 3 j. Finding: 5/306 Given: Two letters picked without replacement from dbdbdrdrrrb. Give prob of picking 1 d and 1 r. Finding: 16/55 Given: What is prob of picking 1 s and 1 a when two letters picked without replacement from uaauakkaskaaaaaakka? Finding: 11/171 Given: What is prob of picking 1 e and 1 t when two letters picked without replacement from {e: 5, t: 5, o: 2}? Finding: 25/66 Given: What is prob of picking 1 l, 1 e, and 1 x when three letters picked without replacement from {e: 2, d: 2, s: 4, x: 1, l: 3, t: 6}? Finding: 1/136 Given: What is prob of picking 2 e and 2 y when four letters picked without replacement from {b: 3, a: 7, e: 5, j: 1, y: 2}? Finding: 1/306 Given: Two letters picked without replacement from {h: 1, c: 2, y: 4, k: 3, q: 2, g: 2}. Give prob of picking 2 k. Finding: 3/91 Give
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numbers: place value -------------------- Exercise: What is the thousands digit of 1201? Solution: 1 Exercise: What is the units digit of 17? Solution: 7 Exercise: What is the hundred millions digit of 576253360? Solution: 5 Exercise: What is the hundreds digit of 2643? Solution: 6 Exercise: What is the ten thousands digit of 16310? Solution: 1 Exercise: What is the units digit of 569218? Solution: 8 Exercise: What is the millions digit of 321563591? Solution: 1 Exercise: What is the units digit of 4068963164? Solution: 4 Exercise: What is the units digit of 339? Solution: 9 Exercise: What is the hundreds digit of 430764? Solution: 7 Exercise: What is the tens digit of 2387536579? Solution: 7 Exercise: What is the ten thousands digit of 34907? Solution: 3 Exercise: What is the ten thousands digit of 51662? Solution: 5 Exercise: What is the tens digit of 885555? Solution: 5 Exercise: What is the ten thousands digit of 61224651? Solution: 2 Exercise: What is the hundred millions digit of 528429380? Solution: 5 Exercise: What is the ten thousands digit of 12334? Solution: 1 Exercise: What is the ten thousands digit of 4783959374? Solution: 5 Exercise: What is the ten thousands digit of 318782? Solution: 1 Exercise: What is the hundred thousands digit of 12971684? Solution: 9 Exercise: What is the thousands digit of 77937? Solution: 7 Exercise: What is the ten thousands digit of 380700? Solution: 8 Exercise: What is the units digit of 512? Solution: 2 Exercise: What is the hundreds digit of 394872? Solution: 8 Exercise: What is the hundred thousands digit of 448411? Solution: 4 Exercise: What is the tens digit of 13788? Solution: 8 Exercise: What is the thousands digit of 94424274? Solution: 4 Exercise: What is the ten millions digit of 75903314? Solution: 7 Exercise: What is the millions digit of 36711021? Solution: 6 Exercise: What is the tens digit of 4550? Solution: 5 Exercise: What is the units digit of 32105383? Solution: 3 Exercise: What is the hundreds digit of
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numbers: is prime ----------------- Case: Is 33887941 a composite number? Compute: False Case: Is 182071 composite? Compute: True Case: Is 6561861 composite? Compute: True Case: Is 22373497 a composite number? Compute: False Case: Is 69781121 a composite number? Compute: True Case: Is 23791 a prime number? Compute: False Case: Is 1148052803 prime? Compute: True Case: Is 173456215637 prime? Compute: True Case: Is 633 a composite number? Compute: True Case: Is 2604579253 a prime number? Compute: False Case: Is 274515793 composite? Compute: False Case: Is 7392101953 composite? Compute: True Case: Is 26302567589 prime? Compute: False Case: Is 2170979 composite? Compute: True Case: Is 115033 a prime number? Compute: False Case: Is 9911171 prime? Compute: True Case: Is 95874763 composite? Compute: False Case: Is 4911 a composite number? Compute: True Case: Is 111295 prime? Compute: False Case: Is 8343178555 a composite number? Compute: True Case: Is 1817 a prime number? Compute: False Case: Is 1640622493 composite? Compute: False Case: Is 250639 a prime number? Compute: False Case: Is 29638373 a composite number? Compute: False Case: Is 4906419917 a prime number? Compute: False Case: Is 23249 composite? Compute: True Case: Is 1963464211 prime? Compute: False Case: Is 49448419487 a prime number? Compute: True Case: Is 3072903721 a composite number? Compute: False Case: Is 72234199351 prime? Compute: True Case: Is 282954767 composite? Compute: True Case: Is 467663 prime? Compute: False Case: Is 18405694423 a composite number? Compute: False Case: Is 14263285273 a composite number? Compute: True Case: Is 125611 a prime number? Compute: False Case: Is 4009 composite? Compute: True Case: Is 2513633 a prime number? Compute: False Case: Is 13584647 prime? Compute: True Case: Is 5554 a prime number? Compute: False Case: Is 2813 composite? Compute: True Case: Is 3470580977 a prime number? Compute: True Case: Is 33605665447 a composite number? Compute: True Case: Is 14369 prime? Co
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measurement: conversion ----------------------- Q/A: What is two ninths of a hour in seconds? Solution: 800 Q/A: Convert 362.0483 kilograms to nanograms. Solution: 362048300000000 Q/A: What is twenty-three thirds of a hour in seconds? Solution: 27600 Q/A: How many days are there in 41662.08ns? Solution: 0.0000000004822 Q/A: How many milligrams are there in 509.9374 micrograms? Solution: 0.5099374 Q/A: What is 1/5 of a litre in millilitres? Solution: 200 Q/A: How many days are there in 3022.8633 milliseconds? Solution: 0.00003498684375 Q/A: How many centimeters are there in 1/10 of a kilometer? Solution: 10000 Q/A: How many nanoseconds are there in one tenth of a microsecond? Solution: 100 Q/A: What is one quarter of a millennium in months? Solution: 3000 Q/A: How many millilitres are there in 6/5 of a litre? Solution: 1200 Q/A: How many grams are there in one fifth of a kilogram? Solution: 200 Q/A: What is 640469.5 micrograms in kilograms? Solution: 0.0006404695 Q/A: How many centimeters are there in 86.26593 millimeters? Solution: 8.626593 Q/A: What is 12.96765 centuries in years? Solution: 1296.765 Q/A: How many months are there in 0.6680301 centuries? Solution: 801.63612 Q/A: How many milligrams are there in 6/5 of a gram? Solution: 1200 Q/A: What is 25/2 of a litre in millilitres? Solution: 12500 Q/A: What is 622.5129ml in litres? Solution: 0.6225129 Q/A: How many micrograms are there in seventy-one quarters of a milligram? Solution: 17750 Q/A: What is 59/5 of a microgram in nanograms? Solution: 11800 Q/A: What is 18/5 of a centimeter in micrometers? Solution: 36000 Q/A: What is 1.76361mg in grams? Solution: 0.00176361 Q/A: What is fifteen quarters of a litre in millilitres? Solution: 3750 Q/A: How many years are there in 11/4 of a century? Solution: 275 Q/A: Convert 44098.5 micrometers to kilometers. Solution: 0.0000440985 Q/A: How many millilitres are there in twenty-seven fifths of a litre? Solution: 5400 Q/A: Convert 754344.1 days to milliseconds. Solution:
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numbers: div remainder ---------------------- Let us solve: What is the remainder when 14782 is divided by 685? Response: 397 Let us solve: What is the remainder when 442864 is divided by 1870? Response: 1544 Let us solve: Calculate the remainder when 84 is divided by 43. Response: 41 Let us solve: Calculate the remainder when 2916 is divided by 575. Response: 41 Let us solve: What is the remainder when 1548 is divided by 772? Response: 4 Let us solve: What is the remainder when 16521 is divided by 12? Response: 9 Let us solve: What is the remainder when 166611 is divided by 205? Response: 151 Let us solve: Calculate the remainder when 1307 is divided by 105. Response: 47 Let us solve: Calculate the remainder when 115 is divided by 62. Response: 53 Let us solve: Calculate the remainder when 206568 is divided by 25821. Response: 0 Let us solve: What is the remainder when 104244009 is divided by 277984? Response: 9 Let us solve: What is the remainder when 4974473 is divided by 4797? Response: 4781 Let us solve: What is the remainder when 9776902 is divided by 66060? Response: 22 Let us solve: Calculate the remainder when 3711472 is divided by 1205. Response: 72 Let us solve: What is the remainder when 1171 is divided by 254? Response: 155 Let us solve: Calculate the remainder when 4477322 is divided by 8831. Response: 5 Let us solve: Calculate the remainder when 419418 is divided by 130. Response: 38 Let us solve: Calculate the remainder when 27054 is divided by 94. Response: 76 Let us solve: What is the remainder when 332 is divided by 26? Response: 20 Let us solve: Calculate the remainder when 58 is divided by 21. Response: 16 Let us solve: Calculate the remainder when 652086 is divided by 736. Response: 726 Let us solve: Calculate the remainder when 530799 is divided by 5371. Response: 4441 Let us solve: Calculate the remainder when 6386 is divided by 904. Response: 58 Let us solve: Calculate the remainder when 76597 is divided by 8150. Response: 3247 Let us solve:
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measurement: time ----------------- Problem: What is 443 minutes before 12:45 PM? Outcome: 5:22 AM Problem: How many minutes are there between 1:43 AM and 7:05 AM? Outcome: 322 Problem: What is 428 minutes after 2:21 PM? Outcome: 9:29 PM Problem: What is 443 minutes after 10:01 PM? Outcome: 5:24 AM Problem: How many minutes are there between 11:47 PM and 12:14 AM? Outcome: 27 Problem: How many minutes are there between 10:52 AM and 6:46 PM? Outcome: 474 Problem: What is 620 minutes after 1:00 PM? Outcome: 11:20 PM Problem: What is 90 minutes before 2:23 AM? Outcome: 12:53 AM Problem: What is 90 minutes before 8:42 PM? Outcome: 7:12 PM Problem: How many minutes are there between 10:46 PM and 10:26 AM? Outcome: 700 Problem: What is 627 minutes before 8:39 AM? Outcome: 10:12 PM Problem: How many minutes are there between 5:48 PM and 7:55 PM? Outcome: 127 Problem: What is 623 minutes after 7:42 AM? Outcome: 6:05 PM Problem: What is 291 minutes before 2:30 PM? Outcome: 9:39 AM Problem: How many minutes are there between 1:23 PM and 1:12 AM? Outcome: 709 Problem: What is 145 minutes before 2:50 PM? Outcome: 12:25 PM Problem: How many minutes are there between 3:40 AM and 6:32 AM? Outcome: 172 Problem: How many minutes are there between 7:21 PM and 9:28 PM? Outcome: 127 Problem: How many minutes are there between 4:31 AM and 11:21 AM? Outcome: 410 Problem: What is 543 minutes before 1:10 AM? Outcome: 4:07 PM Problem: How many minutes are there between 4:12 AM and 4:56 AM? Outcome: 44 Problem: What is 636 minutes after 9:57 PM? Outcome: 8:33 AM Problem: How many minutes are there between 5:17 PM and 4:24 AM? Outcome: 667 Problem: What is 19 minutes after 6:40 PM? Outcome: 6:59 PM Problem: How many minutes are there between 11:02 AM and 10:51 PM? Outcome: 709 Problem: What is 148 minutes after 5:25 AM? Outcome: 7:53 AM Problem: What is 599 minutes after 7:51 PM? Outcome: 5:50 AM Problem: What is 410 minutes after 8:02 AM? Outcome: 2:52 PM Problem: How many minutes are there
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numbers: gcd ------------ Request: Calculate the highest common divisor of 3 and 42273. A: 3 Request: What is the greatest common divisor of 236 and 44? A: 4 Request: Calculate the greatest common factor of 12 and 3054891. A: 3 Request: What is the greatest common factor of 84 and 1113? A: 21 Request: What is the greatest common factor of 24 and 108? A: 12 Request: What is the highest common factor of 60762 and 3461097? A: 2337 Request: Calculate the greatest common divisor of 4345 and 110. A: 55 Request: What is the greatest common divisor of 517 and 10293? A: 47 Request: Calculate the greatest common divisor of 3140 and 100. A: 20 Request: What is the greatest common factor of 42 and 1582? A: 14 Request: Calculate the highest common factor of 1147 and 4181. A: 37 Request: What is the greatest common divisor of 75936 and 1056? A: 96 Request: Calculate the greatest common divisor of 512417 and 1771. A: 23 Request: Calculate the highest common divisor of 921987 and 145457. A: 67 Request: Calculate the highest common divisor of 189 and 7. A: 7 Request: What is the highest common factor of 462959 and 7? A: 7 Request: Calculate the highest common divisor of 402208 and 160. A: 32 Request: What is the greatest common divisor of 22735 and 5? A: 5 Request: Calculate the highest common divisor of 20167 and 33299. A: 469 Request: Calculate the highest common factor of 10546 and 1533219664. A: 10546 Request: Calculate the greatest common divisor of 19550 and 1360. A: 170 Request: What is the greatest common factor of 259 and 7585? A: 37 Request: What is the greatest common factor of 3186 and 19497966? A: 354 Request: Calculate the greatest common factor of 359246610 and 3460. A: 1730 Request: What is the highest common divisor of 136 and 622224? A: 8 Request: Calculate the highest common factor of 10 and 599060. A: 10 Request: What is the highest common factor of 8829 and 297? A: 27 Request: What is the greatest common factor of 1704 and 12? A: 12 Request: What is the highest
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numbers: div remainder ---------------------- Statement: Calculate the remainder when 1300511 is divided by 34221. Result: 113 Statement: What is the remainder when 77953 is divided by 15? Result: 13 Statement: What is the remainder when 35 is divided by 17? Result: 1 Statement: What is the remainder when 544 is divided by 267? Result: 10 Statement: Calculate the remainder when 596703 is divided by 9624. Result: 15 Statement: Calculate the remainder when 51793286 is divided by 54. Result: 50 Statement: What is the remainder when 1020 is divided by 259? Result: 243 Statement: Calculate the remainder when 63604161 is divided by 2382. Result: 2379 Statement: What is the remainder when 223193 is divided by 55543? Result: 1021 Statement: What is the remainder when 1991 is divided by 48? Result: 23 Statement: What is the remainder when 72698 is divided by 24195? Result: 113 Statement: What is the remainder when 580229 is divided by 29? Result: 26 Statement: What is the remainder when 3717 is divided by 15? Result: 12 Statement: What is the remainder when 30751 is divided by 30716? Result: 35 Statement: Calculate the remainder when 452 is divided by 2. Result: 0 Statement: Calculate the remainder when 6360578 is divided by 1081. Result: 1055 Statement: What is the remainder when 96071 is divided by 129? Result: 95 Statement: Calculate the remainder when 3406679611 is divided by 1022. Result: 1021 Statement: Calculate the remainder when 139 is divided by 47. Result: 45 Statement: Calculate the remainder when 5062023 is divided by 451. Result: 450 Statement: Calculate the remainder when 828 is divided by 165. Result: 3 Statement: Calculate the remainder when 60673 is divided by 154. Result: 151 Statement: What is the remainder when 154 is divided by 41? Result: 31 Statement: Calculate the remainder when 642606 is divided by 642433. Result: 173 Statement: What is the remainder when 4914 is divided by 33? Result: 30 Statement: What is the remainder when 1817 is divided by 14?
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measurement: time ----------------- Issue: What is 10 minutes after 4:00 AM? Workthrough: 4:10 AM Issue: How many minutes are there between 3:28 AM and 8:37 AM? Workthrough: 309 Issue: How many minutes are there between 1:23 PM and 5:36 PM? Workthrough: 253 Issue: What is 672 minutes before 9:37 AM? Workthrough: 10:25 PM Issue: How many minutes are there between 12:22 PM and 11:24 PM? Workthrough: 662 Issue: How many minutes are there between 11:14 AM and 3:09 PM? Workthrough: 235 Issue: How many minutes are there between 3:46 AM and 9:13 AM? Workthrough: 327 Issue: What is 681 minutes before 2:24 PM? Workthrough: 3:03 AM Issue: What is 115 minutes after 4:08 AM? Workthrough: 6:03 AM Issue: How many minutes are there between 12:45 PM and 2:22 PM? Workthrough: 97 Issue: How many minutes are there between 1:37 AM and 10:46 AM? Workthrough: 549 Issue: How many minutes are there between 9:07 AM and 5:29 PM? Workthrough: 502 Issue: What is 576 minutes before 10:55 AM? Workthrough: 1:19 AM Issue: What is 490 minutes before 9:36 PM? Workthrough: 1:26 PM Issue: How many minutes are there between 7:16 PM and 5:07 AM? Workthrough: 591 Issue: How many minutes are there between 10:32 AM and 1:00 PM? Workthrough: 148 Issue: How many minutes are there between 7:44 AM and 5:51 PM? Workthrough: 607 Issue: How many minutes are there between 10:58 AM and 11:57 AM? Workthrough: 59 Issue: How many minutes are there between 10:38 PM and 3:56 AM? Workthrough: 318 Issue: What is 480 minutes before 7:30 PM? Workthrough: 11:30 AM Issue: What is 354 minutes before 4:18 PM? Workthrough: 10:24 AM Issue: How many minutes are there between 10:42 PM and 12:49 AM? Workthrough: 127 Issue: What is 41 minutes before 12:25 AM? Workthrough: 11:44 PM Issue: How many minutes are there between 10:39 PM and 1:31 AM? Workthrough: 172 Issue: How many minutes are there between 7:30 AM and 7:20 PM? Workthrough: 710 Issue: What is 599 minutes after 12:33 PM? Workthrough: 10:32 PM Issue: How many minutes are the
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numbers: is prime ----------------- Test item: Is 87485 composite? Soln: True Test item: Is 566617 composite? Soln: False Test item: Is 636614243 prime? Soln: True Test item: Is 1361 composite? Soln: False Test item: Is 18539 a prime number? Soln: True Test item: Is 7920133 prime? Soln: False Test item: Is 4548689 composite? Soln: True Test item: Is 976145 composite? Soln: True Test item: Is 166507 a composite number? Soln: True Test item: Is 8086081 a composite number? Soln: True Test item: Is 637267439 a prime number? Soln: False Test item: Is 392435873 prime? Soln: True Test item: Is 10181 composite? Soln: False Test item: Is 2330781227 a prime number? Soln: True Test item: Is 54430159 a composite number? Soln: True Test item: Is 19932774259 composite? Soln: False Test item: Is 1069 a prime number? Soln: True Test item: Is 91695013 a composite number? Soln: True Test item: Is 475949 prime? Soln: False Test item: Is 46822751 prime? Soln: True Test item: Is 96665731 prime? Soln: False Test item: Is 234540379 a prime number? Soln: False Test item: Is 122443 a prime number? Soln: True Test item: Is 1758817293 composite? Soln: True Test item: Is 30103 a prime number? Soln: True Test item: Is 21433723 a composite number? Soln: True Test item: Is 23462176339 composite? Soln: True Test item: Is 81685662985 composite? Soln: True Test item: Is 22165973 a composite number? Soln: False Test item: Is 1468906951 composite? Soln: False Test item: Is 17717099 a prime number? Soln: True Test item: Is 3989875789 a prime number? Soln: False Test item: Is 489 a composite number? Soln: True Test item: Is 1500315941 composite? Soln: False Test item: Is 306340547 a composite number? Soln: False Test item: Is 198767 a composite number? Soln: True Test item: Is 74803793 a composite number? Soln: True Test item: Is 1054067198 a composite number? Soln: True Test item: Is 1703473 a composite number? Soln: True Test item: Is 956987 a prime number? Soln: True Test item: Is 3574 prime? Soln: F
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numbers: is prime ----------------- Request: Is 31706827 a prime number? Calculation: True Request: Is 4238231 a prime number? Calculation: True Request: Is 13577777 a prime number? Calculation: True Request: Is 342136369 prime? Calculation: False Request: Is 3882277 a prime number? Calculation: False Request: Is 107129203 a composite number? Calculation: False Request: Is 50871806239 a prime number? Calculation: False Request: Is 1001415457 a composite number? Calculation: True Request: Is 134482251311 a composite number? Calculation: False Request: Is 17435053 composite? Calculation: True Request: Is 578182805 prime? Calculation: False Request: Is 606772286 a composite number? Calculation: True Request: Is 354001 composite? Calculation: False Request: Is 8530986977 prime? Calculation: True Request: Is 14939 a composite number? Calculation: False Request: Is 20707 a prime number? Calculation: True Request: Is 1034904227 a composite number? Calculation: True Request: Is 4717 a prime number? Calculation: False Request: Is 12143591 prime? Calculation: True Request: Is 67704551 composite? Calculation: False Request: Is 25105865 a composite number? Calculation: True Request: Is 4462234033 a composite number? Calculation: True Request: Is 1797 a prime number? Calculation: False Request: Is 23468867 a composite number? Calculation: False Request: Is 121994849 prime? Calculation: False Request: Is 11675185 composite? Calculation: True Request: Is 122704079 prime? Calculation: False Request: Is 1637 prime? Calculation: True Request: Is 16391 prime? Calculation: False Request: Is 2543214253 composite? Calculation: True Request: Is 256725527 prime? Calculation: False Request: Is 903781 composite? Calculation: False Request: Is 249393113 a composite number? Calculation: False Request: Is 6915385549 a composite number? Calculation: False Request: Is 9210529 prime? Calculation: False Request: Is 133571 composite? Calculation: False Request: Is 677533723 composite? Calculation: T
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numbers: place value -------------------- Inquiry: What is the thousands digit of 665320? Ans: 5 Inquiry: What is the hundred millions digit of 3772391247? Ans: 7 Inquiry: What is the tens digit of 7893? Ans: 9 Inquiry: What is the hundred thousands digit of 969083796? Ans: 0 Inquiry: What is the tens digit of 14733344? Ans: 4 Inquiry: What is the hundreds digit of 2220? Ans: 2 Inquiry: What is the tens digit of 1248308? Ans: 0 Inquiry: What is the ten thousands digit of 1033635? Ans: 3 Inquiry: What is the units digit of 374? Ans: 4 Inquiry: What is the hundreds digit of 2788037? Ans: 0 Inquiry: What is the tens digit of 15889571? Ans: 7 Inquiry: What is the tens digit of 79340? Ans: 4 Inquiry: What is the ten millions digit of 7043528515? Ans: 4 Inquiry: What is the hundred thousands digit of 95067984? Ans: 0 Inquiry: What is the tens digit of 1400753? Ans: 5 Inquiry: What is the thousands digit of 18502? Ans: 8 Inquiry: What is the millions digit of 2415854? Ans: 2 Inquiry: What is the thousands digit of 6172270? Ans: 2 Inquiry: What is the tens digit of 5220632? Ans: 3 Inquiry: What is the thousands digit of 130376? Ans: 0 Inquiry: What is the units digit of 393? Ans: 3 Inquiry: What is the units digit of 545? Ans: 5 Inquiry: What is the hundreds digit of 4549128811? Ans: 8 Inquiry: What is the hundred thousands digit of 131264? Ans: 1 Inquiry: What is the thousands digit of 1129642589? Ans: 2 Inquiry: What is the hundreds digit of 305232? Ans: 2 Inquiry: What is the hundreds digit of 38141? Ans: 1 Inquiry: What is the ten thousands digit of 6814739? Ans: 1 Inquiry: What is the ten thousands digit of 29464527? Ans: 6 Inquiry: What is the thousands digit of 147105681? Ans: 5 Inquiry: What is the thousands digit of 4160? Ans: 4 Inquiry: What is the hundreds digit of 394? Ans: 3 Inquiry: What is the hundred millions digit of 605169172? Ans: 6 Inquiry: What is the ten thousands digit of 23733? Ans: 2 Inquiry: What is the hundreds digit of 1098622? Ans: 6 Inquiry: Wh
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numbers: is prime ----------------- Example: Is 4813819 composite? Compute: True Example: Is 46577 a composite number? Compute: True Example: Is 6004194257 a prime number? Compute: False Example: Is 17170141 a prime number? Compute: False Example: Is 1569413 a prime number? Compute: True Example: Is 243921 prime? Compute: False Example: Is 1693 composite? Compute: False Example: Is 69894529 a composite number? Compute: False Example: Is 470389 a prime number? Compute: True Example: Is 5623 a prime number? Compute: True Example: Is 563689 prime? Compute: False Example: Is 328002163 prime? Compute: True Example: Is 3536534689 a composite number? Compute: False Example: Is 368740903 prime? Compute: False Example: Is 1707845 a prime number? Compute: False Example: Is 160254559 composite? Compute: False Example: Is 41677003 a prime number? Compute: False Example: Is 15641719 prime? Compute: False Example: Is 150210653707 composite? Compute: False Example: Is 10504465 a prime number? Compute: False Example: Is 100073335 composite? Compute: True Example: Is 1014818819 prime? Compute: False Example: Is 32993 a prime number? Compute: True Example: Is 1801 prime? Compute: True Example: Is 2625685 a composite number? Compute: True Example: Is 221633 composite? Compute: True Example: Is 12266983 a prime number? Compute: True Example: Is 22220108837 a prime number? Compute: True Example: Is 40829718443 a prime number? Compute: True Example: Is 4633714051 a composite number? Compute: True Example: Is 53987 prime? Compute: True Example: Is 10847 prime? Compute: True Example: Is 18263 a prime number? Compute: False Example: Is 3817717 composite? Compute: False Example: Is 5259421 prime? Compute: True Example: Is 1211 a prime number? Compute: False Example: Is 536719789 prime? Compute: False Example: Is 6773 a composite number? Compute: True Example: Is 3941 composite? Compute: True Example: Is 10270391 a composite number? Compute: False Example: Is 1825429 prime? Compute: True Exam
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numbers: gcd ------------ Exercise: Calculate the greatest common divisor of 322 and 237958. Compute: 322 Exercise: Calculate the greatest common divisor of 114084894 and 84. Compute: 42 Exercise: What is the highest common factor of 35 and 3? Compute: 1 Exercise: What is the highest common divisor of 1272 and 48? Compute: 24 Exercise: Calculate the greatest common divisor of 6516 and 3502069812. Compute: 6516 Exercise: Calculate the highest common factor of 95 and 318658842. Compute: 19 Exercise: Calculate the highest common divisor of 124135548 and 2556. Compute: 852 Exercise: Calculate the greatest common factor of 639 and 270. Compute: 9 Exercise: Calculate the greatest common divisor of 12029 and 23. Compute: 23 Exercise: Calculate the highest common divisor of 33522886 and 428. Compute: 214 Exercise: What is the greatest common divisor of 91 and 306631? Compute: 13 Exercise: What is the greatest common divisor of 417 and 261536145? Compute: 417 Exercise: What is the greatest common divisor of 19 and 785669? Compute: 19 Exercise: What is the greatest common divisor of 1918369 and 14453? Compute: 97 Exercise: Calculate the greatest common factor of 24 and 756. Compute: 12 Exercise: What is the highest common divisor of 2419 and 4574821? Compute: 41 Exercise: Calculate the greatest common factor of 35344 and 17184. Compute: 16 Exercise: Calculate the highest common factor of 91 and 2841293. Compute: 91 Exercise: Calculate the highest common divisor of 36186906 and 31647. Compute: 2877 Exercise: Calculate the highest common divisor of 37310 and 5915. Compute: 455 Exercise: What is the highest common factor of 12 and 4146? Compute: 6 Exercise: What is the greatest common factor of 17129120 and 20? Compute: 20 Exercise: What is the greatest common factor of 106892284 and 13885? Compute: 2777 Exercise: What is the highest common factor of 10408 and 16? Compute: 8 Exercise: What is the greatest common divisor of 1539 and 399? Compute: 57 Exercise: What is the greatest
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numbers: div remainder ---------------------- Q: Calculate the remainder when 1143 is divided by 52. A: 51 Q: What is the remainder when 415 is divided by 16? A: 15 Q: What is the remainder when 596 is divided by 97? A: 14 Q: Calculate the remainder when 14482688 is divided by 1072. A: 1040 Q: Calculate the remainder when 25167462 is divided by 548. A: 14 Q: Calculate the remainder when 201345 is divided by 289. A: 201 Q: Calculate the remainder when 4519573 is divided by 89. A: 64 Q: What is the remainder when 110 is divided by 101? A: 9 Q: Calculate the remainder when 1434 is divided by 111. A: 102 Q: What is the remainder when 471544 is divided by 1469? A: 1464 Q: Calculate the remainder when 3076 is divided by 3073. A: 3 Q: Calculate the remainder when 2525392 is divided by 2598. A: 136 Q: Calculate the remainder when 4599834 is divided by 919645. A: 1609 Q: Calculate the remainder when 4804 is divided by 3957. A: 847 Q: What is the remainder when 25 is divided by 20? A: 5 Q: Calculate the remainder when 950 is divided by 212. A: 102 Q: What is the remainder when 259 is divided by 39? A: 25 Q: Calculate the remainder when 794 is divided by 249. A: 47 Q: What is the remainder when 134057 is divided by 22320? A: 137 Q: Calculate the remainder when 50957 is divided by 4. A: 1 Q: Calculate the remainder when 128755768 is divided by 153. A: 148 Q: What is the remainder when 200071 is divided by 217? A: 214 Q: What is the remainder when 1488 is divided by 495? A: 3 Q: What is the remainder when 1922 is divided by 276? A: 266 Q: What is the remainder when 162 is divided by 95? A: 67 Q: What is the remainder when 378 is divided by 117? A: 27 Q: What is the remainder when 308364 is divided by 102787? A: 3 Q: Calculate the remainder when 491 is divided by 83. A: 76 Q: What is the remainder when 38 is divided by 28? A: 10 Q: What is the remainder when 403 is divided by 37? A: 33 Q: Calculate the remainder when 2193 is divided by 158. A: 139 Q: Calculate the remainder when
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numbers: place value -------------------- Qn: What is the units digit of 163306130? Eval: 0 Qn: What is the units digit of 3208? Eval: 8 Qn: What is the tens digit of 30268? Eval: 6 Qn: What is the units digit of 2107? Eval: 7 Qn: What is the hundreds digit of 119523? Eval: 5 Qn: What is the units digit of 399910? Eval: 0 Qn: What is the units digit of 24994? Eval: 4 Qn: What is the ten millions digit of 513426257? Eval: 1 Qn: What is the hundreds digit of 12864? Eval: 8 Qn: What is the hundred thousands digit of 290329385? Eval: 3 Qn: What is the ten thousands digit of 553059998? Eval: 5 Qn: What is the hundred thousands digit of 25403414? Eval: 4 Qn: What is the tens digit of 198? Eval: 9 Qn: What is the units digit of 55963? Eval: 3 Qn: What is the units digit of 49473? Eval: 3 Qn: What is the tens digit of 1138? Eval: 3 Qn: What is the ten thousands digit of 23948? Eval: 2 Qn: What is the hundreds digit of 629? Eval: 6 Qn: What is the hundred thousands digit of 4954102941? Eval: 1 Qn: What is the units digit of 885? Eval: 5 Qn: What is the tens digit of 2851? Eval: 5 Qn: What is the ten thousands digit of 248129? Eval: 4 Qn: What is the hundred thousands digit of 321858? Eval: 3 Qn: What is the hundred thousands digit of 1171209? Eval: 1 Qn: What is the thousands digit of 19420? Eval: 9 Qn: What is the tens digit of 18071? Eval: 7 Qn: What is the hundred thousands digit of 4130373? Eval: 1 Qn: What is the thousands digit of 129266? Eval: 9 Qn: What is the hundred thousands digit of 309438340? Eval: 4 Qn: What is the tens digit of 5392? Eval: 9 Qn: What is the thousands digit of 311451956? Eval: 1 Qn: What is the tens digit of 4250831? Eval: 3 Qn: What is the tens digit of 67729? Eval: 2 Qn: What is the ten thousands digit of 631679? Eval: 3 Qn: What is the ten thousands digit of 77825? Eval: 7 Qn: What is the ten thousands digit of 3244211? Eval: 4 Qn: What is the tens digit of 121688? Eval: 8 Qn: What is the tens digit of 45081881? Eval: 8 Qn: What is the tens
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numbers: place value -------------------- Example: What is the hundreds digit of 189947450? Thus: 4 Example: What is the tens digit of 174? Thus: 7 Example: What is the units digit of 1124333? Thus: 3 Example: What is the ten thousands digit of 33113? Thus: 3 Example: What is the units digit of 539? Thus: 9 Example: What is the ten thousands digit of 371486? Thus: 7 Example: What is the thousands digit of 12240? Thus: 2 Example: What is the hundred thousands digit of 3988748? Thus: 9 Example: What is the tens digit of 4732? Thus: 3 Example: What is the millions digit of 1441224615? Thus: 1 Example: What is the millions digit of 6663617? Thus: 6 Example: What is the tens digit of 11692301? Thus: 0 Example: What is the hundreds digit of 58167? Thus: 1 Example: What is the millions digit of 386135899? Thus: 6 Example: What is the hundreds digit of 52934346? Thus: 3 Example: What is the hundreds digit of 312744? Thus: 7 Example: What is the units digit of 126250? Thus: 0 Example: What is the hundred thousands digit of 5382269? Thus: 3 Example: What is the hundreds digit of 241422? Thus: 4 Example: What is the tens digit of 41688? Thus: 8 Example: What is the hundreds digit of 2433843? Thus: 8 Example: What is the hundreds digit of 19017? Thus: 0 Example: What is the ten millions digit of 1012121028? Thus: 1 Example: What is the tens digit of 822? Thus: 2 Example: What is the thousands digit of 366898033? Thus: 8 Example: What is the thousands digit of 10311? Thus: 0 Example: What is the ten thousands digit of 76363227? Thus: 6 Example: What is the tens digit of 799454? Thus: 5 Example: What is the millions digit of 2737433257? Thus: 7 Example: What is the millions digit of 318032637? Thus: 8 Example: What is the thousands digit of 1465? Thus: 1 Example: What is the hundred thousands digit of 41257894? Thus: 2 Example: What is the hundred thousands digit of 20395886? Thus: 3 Example: What is the units digit of 1390? Thus: 0 Example: What is the hundreds digit of 800765?
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probability: swr p level set ---------------------------- Conundrum: Three letters picked without replacement from {t: 3, j: 3, b: 4, z: 2, i: 4}. Give prob of picking 3 b. A: 1/140 Conundrum: Two letters picked without replacement from {v: 1, n: 1, s: 1, r: 3, i: 1}. Give prob of picking 1 n and 1 v. A: 1/21 Conundrum: Calculate prob of picking 3 x when three letters picked without replacement from {x: 1, p: 1, o: 3, f: 2}. A: 0 Conundrum: Calculate prob of picking 1 h, 1 f, and 1 d when three letters picked without replacement from qfdqhfdqff. A: 1/15 Conundrum: Four letters picked without replacement from {t: 5, y: 2, w: 7}. Give prob of picking 2 y, 1 w, and 1 t. A: 5/143 Conundrum: Calculate prob of picking 3 n when three letters picked without replacement from nnnn. A: 1 Conundrum: Calculate prob of picking 1 c and 1 z when two letters picked without replacement from tyctgxcz. A: 1/14 Conundrum: Two letters picked without replacement from yjyjynhhuyhy. Give prob of picking 1 y and 1 n. A: 5/66 Conundrum: What is prob of picking 2 q when two letters picked without replacement from {k: 3, x: 1, o: 3, g: 2, q: 2, l: 7}? A: 1/153 Conundrum: Two letters picked without replacement from sfmsioiot. What is prob of picking 1 o and 1 t? A: 1/18 Conundrum: What is prob of picking 1 b and 1 o when two letters picked without replacement from boovvbkoo? A: 2/9 Conundrum: Three letters picked without replacement from {f: 1, s: 4, p: 1, u: 7, q: 5, y: 1}. What is prob of picking 1 q, 1 p, and 1 s? A: 20/969 Conundrum: Two letters picked without replacement from ascsssgsaczgcszga. Give prob of picking 2 s. A: 15/136 Conundrum: Calculate prob of picking 1 n and 1 y when two letters picked without replacement from {x: 1, y: 2, n: 3, z: 6}. A: 1/11 Conundrum: Three letters picked without replacement from cywcccwyy. What is prob of picking 1 w, 1 c, and 1 y? A: 2/7 Conundrum: Calculate prob of picking 1 m and 1 g when two letters picked without replacement from {m: 1, g: 1, s: 1,
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measurement: conversion ----------------------- Q.: Convert 25751.99 micrograms to kilograms. Solution: 0.00002575199 Q.: How many meters are there in 530538.3cm? Solution: 5305.383 Q.: How many kilograms are there in thirteen quarters of a tonne? Solution: 3250 Q.: What is three fifths of a litre in millilitres? Solution: 600 Q.: How many tonnes are there in 3014.64ug? Solution: 0.00000000301464 Q.: Convert 382.109ml to litres. Solution: 0.382109 Q.: How many months are there in 0.2358071 years? Solution: 2.8296852 Q.: What is 37/5 of a meter in centimeters? Solution: 740 Q.: How many centuries are there in 8.716281 years? Solution: 0.08716281 Q.: How many months are there in 7/15 of a decade? Solution: 56 Q.: What is 597.644 litres in millilitres? Solution: 597644 Q.: How many micrometers are there in 11/2 of a millimeter? Solution: 5500 Q.: How many meters are there in 5.157283cm? Solution: 0.05157283 Q.: What is twenty-eight ninths of a week in minutes? Solution: 31360 Q.: What is 21/4 of a meter in centimeters? Solution: 525 Q.: How many minutes are there in 7/6 of a week? Solution: 11760 Q.: How many milligrams are there in 3/40 of a kilogram? Solution: 75000 Q.: How many months are there in 7692.3 years? Solution: 92307.6 Q.: What is 8129.294 centuries in millennia? Solution: 812.9294 Q.: What is thirty-two fifths of a milligram in micrograms? Solution: 6400 Q.: How many centuries are there in 49630.21 millennia? Solution: 496302.1 Q.: What is 9504.008 tonnes in nanograms? Solution: 9504008000000000000 Q.: How many centimeters are there in 31151.18m? Solution: 3115118 Q.: Convert 2307.081 months to years. Solution: 192.25675 Q.: What is twenty-seven fifths of a minute in seconds? Solution: 324 Q.: How many years are there in 4551.955 centuries? Solution: 455195.5 Q.: How many decades are there in twenty-one fifths of a century? Solution: 42 Q.: How many centuries are there in 34/5 of a millennium? Solution: 68 Q.: What is fourty-five quarters of a micrometer
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measurement: time ----------------- Task: What is 323 minutes before 5:47 PM? Response: 12:24 PM Task: How many minutes are there between 11:04 AM and 8:42 PM? Response: 578 Task: How many minutes are there between 9:55 AM and 7:36 PM? Response: 581 Task: How many minutes are there between 7:03 AM and 7:54 AM? Response: 51 Task: How many minutes are there between 5:25 PM and 6:56 PM? Response: 91 Task: How many minutes are there between 11:18 PM and 3:09 AM? Response: 231 Task: What is 386 minutes before 8:47 PM? Response: 2:21 PM Task: How many minutes are there between 3:52 AM and 2:54 PM? Response: 662 Task: What is 130 minutes before 12:00 PM? Response: 9:50 AM Task: What is 481 minutes after 6:16 PM? Response: 2:17 AM Task: How many minutes are there between 11:31 AM and 9:49 PM? Response: 618 Task: What is 324 minutes before 2:25 AM? Response: 9:01 PM Task: What is 480 minutes after 2:11 PM? Response: 10:11 PM Task: What is 246 minutes after 7:23 PM? Response: 11:29 PM Task: How many minutes are there between 12:04 PM and 10:21 PM? Response: 617 Task: What is 568 minutes before 2:16 AM? Response: 4:48 PM Task: How many minutes are there between 8:17 PM and 2:30 AM? Response: 373 Task: How many minutes are there between 5:08 AM and 6:04 AM? Response: 56 Task: What is 10 minutes before 7:06 AM? Response: 6:56 AM Task: What is 573 minutes after 3:51 AM? Response: 1:24 PM Task: What is 399 minutes after 9:36 PM? Response: 4:15 AM Task: What is 40 minutes after 8:15 PM? Response: 8:55 PM Task: What is 132 minutes before 6:32 AM? Response: 4:20 AM Task: What is 678 minutes after 6:13 AM? Response: 5:31 PM Task: How many minutes are there between 10:03 AM and 1:17 PM? Response: 194 Task: How many minutes are there between 1:30 AM and 1:10 PM? Response: 700 Task: What is 128 minutes after 9:20 PM? Response: 11:28 PM Task: How many minutes are there between 6:42 PM and 11:46 PM? Response: 304 Task: What is 111 minutes after 11:38 AM? Response: 1:29 PM Task: What is 331
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numbers: is factor ------------------ Let us solve: Does 6 divide 42? Eval: True Let us solve: Is 61 a factor of 2282? Eval: False Let us solve: Does 2 divide 12889999? Eval: False Let us solve: Does 6 divide 1209696? Eval: True Let us solve: Does 272 divide 8590166? Eval: False Let us solve: Does 77 divide 794685122? Eval: True Let us solve: Does 6 divide 169306? Eval: False Let us solve: Is 443 a multiple of 19? Eval: False Let us solve: Does 7 divide 304418? Eval: False Let us solve: Is 8920 a multiple of 8? Eval: True Let us solve: Is 545798752 a multiple of 109? Eval: True Let us solve: Is 48 a factor of 4644? Eval: False Let us solve: Is 11563091 a multiple of 233? Eval: True Let us solve: Is 366856 a multiple of 16? Eval: False Let us solve: Is 63 a factor of 180448065? Eval: True Let us solve: Does 12 divide 317241936? Eval: True Let us solve: Is 16048 a multiple of 17? Eval: True Let us solve: Is 459746870 a multiple of 55? Eval: True Let us solve: Is 134510873 a multiple of 89? Eval: False Let us solve: Is 7449 a multiple of 13? Eval: True Let us solve: Does 122 divide 590846? Eval: True Let us solve: Is 358943 a multiple of 5? Eval: False Let us solve: Is 2843640 a multiple of 120? Eval: True Let us solve: Is 19 a factor of 33285473? Eval: True Let us solve: Is 944 a factor of 3597312128? Eval: True Let us solve: Is 3985 a multiple of 88? Eval: False Let us solve: Is 3259 a factor of 80702617? Eval: True Let us solve: Is 22419214 a multiple of 2237? Eval: True Let us solve: Is 26138014 a multiple of 304? Eval: False Let us solve: Is 253 a factor of 2367847? Eval: False Let us solve: Is 79 a multiple of 8? Eval: False Let us solve: Is 411757 a multiple of 17? Eval: True Let us solve: Does 273 divide 273828? Eval: False Let us solve: Does 27 divide 71523? Eval: True Let us solve: Is 150 a factor of 655771050? Eval: True Let us solve: Is 1235 a multiple of 65? Eval: True Let us solve: Does 195 divide 25155? Eval: True Let us solve: Does 517 divide 201573647?
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probability: swr p sequence --------------------------- Problem: Three letters picked without replacement from {i: 3, w: 6, g: 2, q: 1}. What is prob of sequence www? Key: 1/11 Problem: What is prob of sequence ca when two letters picked without replacement from {c: 4, x: 13, a: 3}? Key: 3/95 Problem: Four letters picked without replacement from nuuuununr. What is prob of sequence ruuu? Key: 5/252 Problem: What is prob of sequence gkl when three letters picked without replacement from {k: 4, l: 4, g: 1, w: 2, n: 8, s: 1}? Key: 2/855 Problem: Three letters picked without replacement from rrrrrrrrrrrrb. Give prob of sequence rrb. Key: 1/13 Problem: What is prob of sequence gmmm when four letters picked without replacement from {m: 7, g: 1}? Key: 1/8 Problem: What is prob of sequence uft when three letters picked without replacement from {u: 1, f: 2, t: 1}? Key: 1/12 Problem: What is prob of sequence vi when two letters picked without replacement from {r: 5, z: 2, i: 2, m: 8, e: 2, v: 1}? Key: 1/190 Problem: Three letters picked without replacement from ziji. What is prob of sequence iiz? Key: 1/12 Problem: Three letters picked without replacement from {b: 1, a: 1, y: 2}. Give prob of sequence bya. Key: 1/12 Problem: What is prob of sequence jjyl when four letters picked without replacement from nnjluyuljllllun? Key: 1/2730 Problem: Three letters picked without replacement from {j: 2, v: 12, y: 2, s: 1, g: 2, i: 1}. What is prob of sequence jgj? Key: 1/1710 Problem: Four letters picked without replacement from tetetyetttett. What is prob of sequence ttet? Key: 56/715 Problem: Three letters picked without replacement from {n: 1, v: 4, d: 2}. What is prob of sequence vnd? Key: 4/105 Problem: Three letters picked without replacement from nttutyktkykubkk. What is prob of sequence bky? Key: 1/273 Problem: Calculate prob of sequence lr when two letters picked without replacement from lryy. Key: 1/12 Problem: What is prob of sequence lddd when four letters picked without repl
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